101311031020100 has 144 divisors (see below), whose sum is σ = 245777079593472. Its totient is φ = 36236431440000.

The previous prime is 101311031020051. The next prime is 101311031020109. The reversal of 101311031020100 is 1020130113101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101311031020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880045 + ... + 14358155.

Almost surely, 2^{101311031020100} is an apocalyptic number.

101311031020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311031020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122888539796736).

101311031020100 is an abundant number, since it is smaller than the sum of its proper divisors (144466048573372).

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

101311031020100 is a wasteful number, since it uses less digits than its factorization.

101311031020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478219 (or 12478190 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101311031020100 its reverse (1020130113101), we get a palindrome (102331161133201).

The spelling of 101311031020100 in words is "one hundred one trillion, three hundred eleven billion, thirty-one million, twenty thousand, one hundred".