101031312302200 has 96 divisors (see below), whose sum is σ = 268459112829600. Its totient is φ = 34638728624640.

The previous prime is 101031312302149. The next prime is 101031312302201. The reversal of 101031312302200 is 2203213130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031312302201) 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, 87904846 + ... + 89046754.

It is an arithmetic number, because the mean of its divisors is an integer number (2796449091975).

Almost surely, 2^{101031312302200} is an apocalyptic number.

101031312302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031312302200 is an abundant number, since it is smaller than the sum of its proper divisors (167427800527400).

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

101031312302200 is a wasteful number, since it uses less digits than its factorization.

101031312302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205129 (or 1205120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101031312302200 its reverse (2203213130101), we get a palindrome (103234525432301).

The spelling of 101031312302200 in words is "one hundred one trillion, thirty-one billion, three hundred twelve million, three hundred two thousand, two hundred".