100312202122131 has 16 divisors (see below), whose sum is σ = 139103666240000. Its totient is φ = 64248760789920.

The previous prime is 100312202122129. The next prime is 100312202122261. The reversal of 100312202122131 is 131221202213001.

It is not a de Polignac number, because 100312202122131 - 2¹ = 100312202122129 is a prime.

It is a super-2 number, since 2×100312202122131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100312202122098 and 100312202122107.

It is not an unprimeable number, because it can be changed into a prime (100312202122031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6373877131 + ... + 6373892868.

It is an arithmetic number, because the mean of its divisors is an integer number (8693979140000).

Almost surely, 2^{100312202122131} is an apocalyptic number.

100312202122131 is a deficient number, since it is larger than the sum of its proper divisors (38791464117869).

100312202122131 is a wasteful number, since it uses less digits than its factorization.

100312202122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747770106.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100312202122131 its reverse (131221202213001), we get a palindrome (231533404335132).

The spelling of 100312202122131 in words is "one hundred trillion, three hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred thirty-one".