100202131322200 has 48 divisors (see below), whose sum is σ = 233094472472160. Its totient is φ = 40059430224000.

The previous prime is 100202131322191. The next prime is 100202131322203. The reversal of 100202131322200 is 2223131202001.

It is a super-2 number, since 2×100202131322200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202131322203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133514271 + ... + 134262670.

It is an arithmetic number, because the mean of its divisors is an integer number (4856134843170).

Almost surely, 2^{100202131322200} is an apocalyptic number.

100202131322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202131322200 is an abundant number, since it is smaller than the sum of its proper divisors (132892341149960).

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

100202131322200 is a wasteful number, since it uses less digits than its factorization.

100202131322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267778828 (or 267778819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100202131322200 its reverse (2223131202001), we get a palindrome (102425262524201).

The spelling of 100202131322200 in words is "one hundred trillion, two hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred".