100442202232131 has 24 divisors (see below), whose sum is σ = 150458947604784. Its totient is φ = 66960437650560.

The previous prime is 100442202232117. The next prime is 100442202232223. The reversal of 100442202232131 is 131232202244001.

100442202232131 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 220 + 223 + 213 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100442202232131 is a prime.

It is a super-2 number, since 2×100442202232131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100442202232095 and 100442202232104.

It is not an unprimeable number, because it can be changed into a prime (100442202234131) 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, 12806911 + ... + 19102391.

It is an arithmetic number, because the mean of its divisors is an integer number (6269122816866).

Almost surely, 2^{100442202232131} is an apocalyptic number.

100442202232131 is a deficient number, since it is larger than the sum of its proper divisors (50016745372653).

100442202232131 is an frugal number, since it uses more digits than its factorization.

100442202232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361153 (or 6361141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100442202232131 its reverse (131232202244001), we get a palindrome (231674404476132).

The spelling of 100442202232131 in words is "one hundred trillion, four hundred forty-two billion, two hundred two million, two hundred thirty-two thousand, one hundred thirty-one".