100111121212120 has 64 divisors (see below), whose sum is σ = 228426138296640. Its totient is φ = 39479823398400.

The previous prime is 100111121212099. The next prime is 100111121212163. The reversal of 100111121212120 is 21212121111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111121212094 and 100111121212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208821490 + ... + 209300350.

It is an arithmetic number, because the mean of its divisors is an integer number (3569158410885).

Almost surely, 2^{100111121212120} is an apocalyptic number.

100111121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111121212120 is an abundant number, since it is smaller than the sum of its proper divisors (128315017084520).

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

100111121212120 is a wasteful number, since it uses less digits than its factorization.

100111121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552556 (or 552552 counting only the distinct ones).

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

Adding to 100111121212120 its reverse (21212121111001), we get a palindrome (121323242323121).

The spelling of 100111121212120 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".