101100010112120 has 64 divisors (see below), whose sum is σ = 241005788268480. Its totient is φ = 38037495248896.

The previous prime is 101100010112119. The next prime is 101100010112141. The reversal of 101100010112120 is 21211010001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45166259 + ... + 47351778.

It is an arithmetic number, because the mean of its divisors is an integer number (3765715441695).

Almost surely, 2^{101100010112120} is an apocalyptic number.

101100010112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100010112120 is an abundant number, since it is smaller than the sum of its proper divisors (139905778156360).

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

101100010112120 is a wasteful number, since it uses less digits than its factorization.

101100010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92519672 (or 92519668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100010112120 its reverse (21211010001101), we get a palindrome (122311020113221).

The spelling of 101100010112120 in words is "one hundred one trillion, one hundred billion, ten million, one hundred twelve thousand, one hundred twenty".