202100132232224 has 96 divisors (see below), whose sum is σ = 408434330082240. Its totient is φ = 98386176172032.

The previous prime is 202100132232071. The next prime is 202100132232311. The reversal of 202100132232224 is 422232231001202.

It is a super-2 number, since 2×202100132232224² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202100132232193 and 202100132232202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634332227 + ... + 634650749.

It is an arithmetic number, because the mean of its divisors is an integer number (4254524271690).

Almost surely, 2^{202100132232224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202100132232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204217165041120).

202100132232224 is an abundant number, since it is smaller than the sum of its proper divisors (206334197850016).

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

202100132232224 is a wasteful number, since it uses less digits than its factorization.

202100132232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320042 (or 320034 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 202100132232224 its reverse (422232231001202), we get a palindrome (624332363233426).

The spelling of 202100132232224 in words is "two hundred two trillion, one hundred billion, one hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty-four".