101332100031200 has 72 divisors (see below), whose sum is σ = 247387806901368. Its totient is φ = 40531067527680.

The previous prime is 101332100031161. The next prime is 101332100031209. The reversal of 101332100031200 is 2130001233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332100031209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15612374 + ... + 21128426.

It is an arithmetic number, because the mean of its divisors is an integer number (3435941762519).

Almost surely, 2^{101332100031200} is an apocalyptic number.

101332100031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332100031200 is an abundant number, since it is smaller than the sum of its proper divisors (146055706870168).

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

101332100031200 is a wasteful number, since it uses less digits than its factorization.

101332100031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539036 (or 5539023 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101332100031200 its reverse (2130001233101), we get a palindrome (103462101264301).

The spelling of 101332100031200 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred million, thirty-one thousand, two hundred".