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1102122121100 = 22527111311010211
BaseRepresentation
bin10000000010011011100…
…110001111011110001100
310220100202210012200121112
4100002123212033132030
5121024121230333400
62202150301551152
7142424420313350
oct20023346173614
93810683180545
101102122121100
11395453228a90
121597225754b8
137cc1163cb30
143b4b3271460
151da06e37835
hex1009b98f78c

1102122121100 has 144 divisors (see below), whose sum is σ = 3211106309376. Its totient is φ = 317094048000.

The previous prime is 1102122121033. The next prime is 1102122121103. The reversal of 1102122121100 is 11212212011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1102122121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5405006 + ... + 5605205.

Almost surely, 21102122121100 is an apocalyptic number.

1102122121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102122121100 is an abundant number, since it is smaller than the sum of its proper divisors (2108984188276).

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

1102122121100 is a wasteful number, since it uses less digits than its factorization.

1102122121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010256 (or 11010249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102122121100 its reverse (11212212011), we get a palindrome (1113334333111).

The spelling of 1102122121100 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 11010211 22020422 44040844 55051055 77071477 110102110 121112321 143132743 154142954 220204220 242224642 275255275 286265486 308285908 385357385 484449284 550510550 572530972 605561605 715663715 770714770 847786247 1001929201 1101021100 1211123210 1431327430 1541429540 1574460173 1695572494 1926786925 2003858402 2422246420 2862654860 3027808025 3148920346 3391144988 3578318575 3853573850 4007716804 4238931235 5009646005 6055616050 6297840692 7156637150 7707147700 7872300865 8477862470 10019292010 11021221211 12111232100 14313274300 15744601730 16955724940 20038584020 21194656175 22042442422 25048230025 31489203460 39361504325 42389312350 44084884844 50096460050 55106106055 78723008650 84778624700 100192920100 110212212110 157446017300 220424424220 275530530275 551061060550 1102122121100