100201310222031 has 32 divisors (see below), whose sum is σ = 158056618291200. Its totient is φ = 62520173354880.

The previous prime is 100201310222023. The next prime is 100201310222063. The reversal of 100201310222031 is 130222013102001.

100201310222031 is a `hidden beast` number, since 100 + 2 + 0 + 1 + 310 + 2 + 220 + 31 = 666.

It is not a de Polignac number, because 100201310222031 - 2³ = 100201310222023 is a prime.

It is a super-2 number, since 2×100201310222031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201310221995 and 100201310222013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201310222731) 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, 609704175 + ... + 609868496.

It is an arithmetic number, because the mean of its divisors is an integer number (4939269321600).

Almost surely, 2^{100201310222031} is an apocalyptic number.

100201310222031 is a deficient number, since it is larger than the sum of its proper divisors (57855308069169).

100201310222031 is a wasteful number, since it uses less digits than its factorization.

100201310222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219572876 (or 1219572870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100201310222031 its reverse (130222013102001), we get a palindrome (230423323324032).

The spelling of 100201310222031 in words is "one hundred trillion, two hundred one billion, three hundred ten million, two hundred twenty-two thousand, thirty-one".