100032110031 has 32 divisors (see below), whose sum is σ = 155378124288. Its totient is φ = 56066198400.

The previous prime is 100032109963. The next prime is 100032110047. The reversal of 100032110031 is 130011230001.

It is not a de Polignac number, because 100032110031 - 2¹³ = 100032101839 is a prime.

It is a super-2 number, since 2×100032110031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100032109989 and 100032110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032110131) 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, 6561 + ... + 447333.

It is an arithmetic number, because the mean of its divisors is an integer number (4855566384).

Almost surely, 2^100032110031 is an apocalyptic number.

100032110031 is a deficient number, since it is larger than the sum of its proper divisors (55346014257).

100032110031 is a wasteful number, since it uses less digits than its factorization.

100032110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440991.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100032110031 its reverse (130011230001), we get a palindrome (230043340032).

The spelling of 100032110031 in words is "one hundred billion, thirty-two million, one hundred ten thousand, thirty-one".