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210010020012100 = 225271122479457143
BaseRepresentation
bin101111110000000011000100…
…101001000110000001000100
31000112120202120101021122222001
4233300003010221012001010
5210011301010110341400
62022353134334115044
762143503033453310
oct5760030451060104
91015522511248861
10210010020012100
1160a0882738a800
121b67942294ba84
139024b242c0639
1439c0779804b40
151942c989e4a6a
hexbf00c4a46044

210010020012100 has 108 divisors (see below), whose sum is σ = 572476901063872. Its totient is φ = 65457668548800.

The previous prime is 210010020012097. The next prime is 210010020012103. The reversal of 210010020012100 is 1210020010012.

It is an interprime number because it is at equal distance from previous prime (210010020012097) and next prime (210010020012103).

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

It is not an unprimeable number, because it can be changed into a prime (210010020012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1239643872 + ... + 1239813271.

Almost surely, 2210010020012100 is an apocalyptic number.

210010020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010020012100 is an abundant number, since it is smaller than the sum of its proper divisors (362466881051772).

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

210010020012100 is a wasteful number, since it uses less digits than its factorization.

210010020012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479457186 (or 2479457168 counting only the distinct ones).

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

Adding to 210010020012100 its reverse (1210020010012), we get a palindrome (211220040022112).

The spelling of 210010020012100 in words is "two hundred ten trillion, ten billion, twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 140 154 175 220 242 275 308 350 385 484 550 605 700 770 847 1100 1210 1540 1694 1925 2420 3025 3388 3850 4235 6050 7700 8470 12100 16940 21175 42350 84700 2479457143 4958914286 9917828572 12397285715 17356200001 24794571430 27274028573 34712400002 49589142860 54548057146 61986428575 69424800004 86781000005 109096114292 123972857150 136370142865 173562000010 190918200011 247945714300 272740285730 300014314303 347124000020 381836400022 433905000025 545480571460 600028628606 681850714325 763672800044 867810000050 954591000055 1200057257212 1363701428650 1500071571515 1735620000100 1909182000110 2100100200121 2727402857300 3000143143030 3818364000220 4200200400242 4772955000275 6000286286060 7500357857575 8400400800484 9545910000550 10500501000605 15000715715150 19091820001100 21001002001210 30001431430300 42002004002420 52502505003025 105005010006050 210010020012100