101000102100 has 72 divisors (see below), whose sum is σ = 295747841760. Its totient is φ = 26608855680.

The previous prime is 101000102081. The next prime is 101000102107. The reversal of 101000102100 is 1201000101.

101000102100 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000102107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003215 + ... + 2053014.

Almost surely, 2^101000102100 is an apocalyptic number.

101000102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000102100 is an abundant number, since it is smaller than the sum of its proper divisors (194747739660).

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

101000102100 is a wasteful number, since it uses less digits than its factorization.

101000102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056329 (or 4056322 counting only the distinct ones).

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

Adding to 101000102100 its reverse (1201000101), we get a palindrome (102201102201).

The spelling of 101000102100 in words is "one hundred one billion, one hundred two thousand, one hundred".