100111110211120 has 160 divisors (see below), whose sum is σ = 234169872168960. Its totient is φ = 39802455813120.

The previous prime is 100111110211087. The next prime is 100111110211181. The reversal of 100111110211120 is 21112011111001.

It is a self number, because there is not a number n which added to its sum of digits gives 100111110211120.

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, 33855632682 + ... + 33855635638.

It is an arithmetic number, because the mean of its divisors is an integer number (1463561701056).

Almost surely, 2^{100111110211120} is an apocalyptic number.

100111110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111110211120 is an abundant number, since it is smaller than the sum of its proper divisors (134058761957840).

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

100111110211120 is a wasteful number, since it uses less digits than its factorization.

100111110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111110211120 its reverse (21112011111001), we get a palindrome (121223121322121).

The spelling of 100111110211120 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".