101100010111120 has 80 divisors (see below), whose sum is σ = 242905403898432. Its totient is φ = 39108454156800.

The previous prime is 101100010111039. The next prime is 101100010111141. The reversal of 101100010111120 is 21111010001101.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100010111097 and 101100010111106.

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, 145145322 + ... + 145840201.

Almost surely, 2^{101100010111120} is an apocalyptic number.

101100010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100010111120 is an abundant number, since it is smaller than the sum of its proper divisors (141805393787312).

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

101100010111120 is a wasteful number, since it uses less digits than its factorization.

101100010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290985680 (or 290985674 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101100010111120 its reverse (21111010001101), we get a palindrome (122211020112221).

The spelling of 101100010111120 in words is "one hundred one trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred twenty".