101000000100 has 72 divisors (see below), whose sum is σ = 292700828448. Its totient is φ = 26889632000.

The previous prime is 101000000099. The next prime is 101000000107. The reversal of 101000000100 is 1000000101.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is not an unprimeable number, because it can be changed into a prime (101000000107) 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, 87726 + ... + 457925.

It is an arithmetic number, because the mean of its divisors is an integer number (4065289284).

Almost surely, 2^101000000100 is an apocalyptic number.

101000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000000100 is an abundant number, since it is smaller than the sum of its proper divisors (191700828348).

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

101000000100 is a wasteful number, since it uses less digits than its factorization.

101000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546285 (or 546278 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 101000000100 its reverse (1000000101), we get a palindrome (102000000201).

Subtracting from 101000000100 its reverse (1000000101), we obtain a palindrome (99999999999).

The spelling of 101000000100 in words is "one hundred one billion, one hundred", and thus it is an aban number.