101331200100 has 108 divisors (see below), whose sum is σ = 317472607536. Its totient is φ = 24943052160.

The previous prime is 101331200081. The next prime is 101331200123. The reversal of 101331200100 is 1002133101.

It is a super-2 number, since 2×101331200100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948622 + ... + 1050021.

Almost surely, 2^101331200100 is an apocalyptic number.

101331200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331200100 is an abundant number, since it is smaller than the sum of its proper divisors (216141407436).

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

101331200100 is a wasteful number, since it uses less digits than its factorization.

101331200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998686 (or 1998666 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101331200100 its reverse (1002133101), we get a palindrome (102333333201).

The spelling of 101331200100 in words is "one hundred one billion, three hundred thirty-one million, two hundred thousand, one hundred".