101020100100 has 72 divisors (see below), whose sum is σ = 293899814208. Its totient is φ = 26789846400.

The previous prime is 101020100053. The next prime is 101020100119. The reversal of 101020100100 is 1001020101.

101020100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875904 + ... + 984503.

It is an arithmetic number, because the mean of its divisors is an integer number (4081941864).

Almost surely, 2^101020100100 is an apocalyptic number.

101020100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020100100 is an abundant number, since it is smaller than the sum of its proper divisors (192879714108).

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

101020100100 is a wasteful number, since it uses less digits than its factorization.

101020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860605 (or 1860598 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101020100100 its reverse (1001020101), we get a palindrome (102021120201).

The spelling of 101020100100 in words is "one hundred one billion, twenty million, one hundred thousand, one hundred".