100111210121120 has 96 divisors (see below), whose sum is σ = 258022097403840. Its totient is φ = 36402918615040.

The previous prime is 100111210121107. The next prime is 100111210121137. The reversal of 100111210121120 is 21121012111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111210121095 and 100111210121104.

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, 55447319 + ... + 57224361.

It is an arithmetic number, because the mean of its divisors is an integer number (2687730181290).

Almost surely, 2^{100111210121120} is an apocalyptic number.

100111210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111210121120 is an abundant number, since it is smaller than the sum of its proper divisors (157910887282720).

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

100111210121120 is a wasteful number, since it uses less digits than its factorization.

100111210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809078 (or 1809070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111210121120 its reverse (21121012111001), we get a palindrome (121232222232121).

The spelling of 100111210121120 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".