100111202121120 has 96 divisors (see below), whose sum is σ = 315546524512128. Its totient is φ = 26679707839488.

The previous prime is 100111202121113. The next prime is 100111202121149. The reversal of 100111202121120 is 21121202111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111202121120.

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, 64121299 + ... + 65664018.

It is an arithmetic number, because the mean of its divisors is an integer number (3286942963668).

Almost surely, 2^{100111202121120} is an apocalyptic number.

100111202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111202121120 is an abundant number, since it is smaller than the sum of its proper divisors (215435322391008).

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

100111202121120 is a wasteful number, since it uses less digits than its factorization.

100111202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129786942 (or 129786934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100111202121120 its reverse (21121202111001), we get a palindrome (121232404232121).

The spelling of 100111202121120 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".