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100121212120122 = 23740955965967
BaseRepresentation
bin10110110000111101001001…
…010010000110110000111010
3111010111111100102022020000000
4112300331021102012300322
5101110341220300320442
6552535014435053430
730042342654152454
oct2660751122066072
9433444312266000
10100121212120122
11299a11930a6066
12b2901b3441276
1343b350b4a934b
141aa1c6d1212d4
15b895b0da6d4c
hex5b0f49486c3a

100121212120122 has 64 divisors (see below), whose sum is σ = 225789101299200. Its totient is φ = 33292138398624.

The previous prime is 100121212120103. The next prime is 100121212120183. The reversal of 100121212120122 is 221021212121001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100121212120095 and 100121212120104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26194018 + ... + 29771949.

It is an arithmetic number, because the mean of its divisors is an integer number (3527954707800).

Almost surely, 2100121212120122 is an apocalyptic number.

100121212120122 is an abundant number, since it is smaller than the sum of its proper divisors (125667889179078).

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

100121212120122 is an frugal number, since it uses more digits than its factorization.

100121212120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55966399 (or 55966381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100121212120122 its reverse (221021212121001), we get a palindrome (321142424241123).

The spelling of 100121212120122 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 409 486 729 818 1227 1458 2187 2454 3681 4374 7362 11043 22086 33129 66258 99387 198774 298161 596322 894483 1788966 55965967 111931934 167897901 335795802 503693703 1007387406 1511081109 3022162218 4533243327 9066486654 13599729981 22890080503 27199459962 40799189943 45780161006 68670241509 81598379886 122397569829 137340483018 206010724527 244795139658 412021449054 618032173581 1236064347162 1854096520743 3708193041486 5562289562229 11124579124458 16686868686687 33373737373374 50060606060061 100121212120122