101888401836072 has 32 divisors (see below), whose sum is σ = 254721701530080. Its totient is φ = 33962707686720.

The previous prime is 101888401836071. The next prime is 101888401836079. The reversal of 101888401836072 is 270638104888101.

It is not an unprimeable number, because it can be changed into a prime (101888401836071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3447558 + ... + 14685450.

It is an arithmetic number, because the mean of its divisors is an integer number (7960053172815).

Almost surely, 2^{101888401836072} is an apocalyptic number.

101888401836072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101888401836072 is an abundant number, since it is smaller than the sum of its proper divisors (152833299694008).

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

101888401836072 is a wasteful number, since it uses less digits than its factorization.

101888401836072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615673 (or 11615669 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 101888401836072 in words is "one hundred one trillion, eight hundred eighty-eight billion, four hundred one million, eight hundred thirty-six thousand, seventy-two".