101075537086820 has 48 divisors (see below), whose sum is σ = 217576589408640. Its totient is φ = 39420574669056.

The previous prime is 101075537086817. The next prime is 101075537086859. The reversal of 101075537086820 is 28680735570101.

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, 102788072 + ... + 103766751.

It is an arithmetic number, because the mean of its divisors is an integer number (4532845612680).

Almost surely, 2^{101075537086820} is an apocalyptic number.

101075537086820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101075537086820 is an abundant number, since it is smaller than the sum of its proper divisors (116501052321820).

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

101075537086820 is a wasteful number, since it uses less digits than its factorization.

101075537086820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206555444 (or 206555442 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 101075537086820 in words is "one hundred one trillion, seventy-five billion, five hundred thirty-seven million, eighty-six thousand, eight hundred twenty".