10111110111120 has 80 divisors (see below), whose sum is σ = 31345132533120. Its totient is φ = 2696236572672.

The previous prime is 10111110111073. The next prime is 10111110111131. The reversal of 10111110111120 is 2111101111101.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111110111096 and 10111110111105.

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, 11033557 + ... + 11914763.

It is an arithmetic number, because the mean of its divisors is an integer number (391814156664).

Almost surely, 2^{10111110111120} is an apocalyptic number.

10111110111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111110111120 is an abundant number, since it is smaller than the sum of its proper divisors (21234022422000).

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

10111110111120 is a wasteful number, since it uses less digits than its factorization.

10111110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929032 (or 929026 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111110111120 its reverse (2111101111101), we get a palindrome (12222211222221).

The spelling of 10111110111120 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".