100111021111120 has 80 divisors (see below), whose sum is σ = 233755365908880. Its totient is φ = 39873034248192.

The previous prime is 100111021111117. The next prime is 100111021111159. The reversal of 100111021111120 is 21111120111001.

100111021111120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13376369946384 + 86734651164736 = 3657372^2 + 9313144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100111021111120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111021111120.

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, 31479234 + ... + 34513246.

It is an arithmetic number, because the mean of its divisors is an integer number (2921942073861).

Almost surely, 2^{100111021111120} is an apocalyptic number.

100111021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111021111120 is an abundant number, since it is smaller than the sum of its proper divisors (133644344797760).

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

100111021111120 is a wasteful number, since it uses less digits than its factorization.

100111021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035792 (or 3035786 counting only the distinct ones).

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

Adding to 100111021111120 its reverse (21111120111001), we get a palindrome (121222141222121).

The spelling of 100111021111120 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, one hundred eleven thousand, one hundred twenty".