100132220102131 has 32 divisors (see below), whose sum is σ = 124533554595840. Its totient is φ = 78566020955136.

The previous prime is 100132220102059. The next prime is 100132220102137. The reversal of 100132220102131 is 131201022231001.

It is a cyclic number.

It is not a de Polignac number, because 100132220102131 - 2¹⁷ = 100132219971059 is a prime.

It is a super-2 number, since 2×100132220102131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100132220102099 and 100132220102108.

It is not an unprimeable number, because it can be changed into a prime (100132220102137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78856930 + ... + 80116663.

It is an arithmetic number, because the mean of its divisors is an integer number (3891673581120).

Almost surely, 2^{100132220102131} is an apocalyptic number.

100132220102131 is a deficient number, since it is larger than the sum of its proper divisors (24401334493709).

100132220102131 is a wasteful number, since it uses less digits than its factorization.

100132220102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158973763.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100132220102131 its reverse (131201022231001), we get a palindrome (231333242333132).

The spelling of 100132220102131 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty million, one hundred two thousand, one hundred thirty-one".