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1001220012100 = 2252711909114303
BaseRepresentation
bin11101001000111010101…
…11001111100001000100
310112201022202002110110101
432210131113033201010
5112400444310341400
62043542031333444
7132223110453430
oct16443527174104
93481282073411
101001220012100
11356684660060
12142062681284
1373550c78aa9
14366604a59c0
151b09d90656a
hexe91d5cf844

1001220012100 has 144 divisors (see below), whose sum is σ = 2709242597376. Its totient is φ = 312012432000.

The previous prime is 1001220012049. The next prime is 1001220012181. The reversal of 1001220012100 is 12100221001.

1001220012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69993549 + ... + 70007851.

It is an arithmetic number, because the mean of its divisors is an integer number (18814184704).

Almost surely, 21001220012100 is an apocalyptic number.

1001220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354621298688).

1001220012100 is an abundant number, since it is smaller than the sum of its proper divisors (1708022585276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001220012100 is a wasteful number, since it uses less digits than its factorization.

1001220012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23426 (or 23419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001220012100 its reverse (12100221001), we get a palindrome (1013320233101).

The spelling of 1001220012100 in words is "one trillion, one billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 9091 14303 18182 28606 36364 45455 57212 63637 71515 90910 100001 100121 127274 143030 157333 181820 200002 200242 227275 254548 286060 314666 318185 357575 400004 400484 454550 500005 500605 629332 636370 700007 715150 786665 909100 1000010 1001210 1101331 1272740 1400014 1430300 1573330 1590925 2000020 2002420 2202662 2500025 2503025 2800028 3146660 3181850 3500035 3933325 4405324 5000050 5006050 5506655 6363700 7000070 7866650 10000100 10012100 11013310 14000140 15733300 17500175 22026620 27533275 35000350 55066550 70000700 110133100 130028573 260057146 520114292 650142865 910200011 1300285730 1430314303 1820400022 2600571460 2860628606 3250714325 3640800044 4551000055 5721257212 6501428650 7151571515 9102000110 10012200121 13002857300 14303143030 18204000220 20024400242 22755000275 28606286060 35757857575 40048800484 45510000550 50061000605 71515715150 91020001100 100122001210 143031430300 200244002420 250305003025 500610006050 1001220012100