101100110100960 has 96 divisors (see below), whose sum is σ = 318607712896032. Its totient is φ = 26947977205760.

The previous prime is 101100110100959. The next prime is 101100110100961. The reversal of 101100110100960 is 69001011001101.

It is an interprime number because it is at equal distance from previous prime (101100110100959) and next prime (101100110100961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110100961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46003851 + ... + 48151370.

It is an arithmetic number, because the mean of its divisors is an integer number (3318830342667).

Almost surely, 2^{101100110100960} is an apocalyptic number.

101100110100960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110100960 is an abundant number, since it is smaller than the sum of its proper divisors (217507602795072).

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

101100110100960 is a wasteful number, since it uses less digits than its factorization.

101100110100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94157476 (or 94157468 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 101100110100960 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred sixty".