100122212413431 has 24 divisors (see below), whose sum is σ = 155746878552720. Its totient is φ = 61613188598016.

The previous prime is 100122212413393. The next prime is 100122212413453. The reversal of 100122212413431 is 134314212221001.

100122212413431 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 2 + 212 + 4 + 13 + 431 = 666.

It is not a de Polignac number, because 100122212413431 - 2¹⁴ = 100122212397047 is a prime.

It is a super-2 number, since 2×100122212413431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122212413395 and 100122212413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122212403431) 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, 12028000 + ... + 18571946.

It is an arithmetic number, because the mean of its divisors is an integer number (6489453273030).

Almost surely, 2^{100122212413431} is an apocalyptic number.

100122212413431 is a deficient number, since it is larger than the sum of its proper divisors (55624666139289).

100122212413431 is a wasteful number, since it uses less digits than its factorization.

100122212413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674735 (or 6674732 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 100122212413431 its reverse (134314212221001), we get a palindrome (234436424634432).

The spelling of 100122212413431 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, four hundred thirteen thousand, four hundred thirty-one".