32000100100023 has 64 divisors (see below), whose sum is σ = 50246994124800. Its totient is φ = 17910078130560.

The previous prime is 32000100099943. The next prime is 32000100100051.

It is a happy number.

32000100100023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32000100100023 - 2²¹ = 32000098002871 is a prime.

It is a super-2 number, since 2×32000100100023² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32000100099981 and 32000100100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000100100523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553041468 + ... + 553099326.

It is an arithmetic number, because the mean of its divisors is an integer number (785109283200).

Almost surely, 2^{32000100100023} is an apocalyptic number.

32000100100023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32000100100023 is a deficient number, since it is larger than the sum of its proper divisors (18246894024777).

32000100100023 is a wasteful number, since it uses less digits than its factorization.

32000100100023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83052.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 32000100 and 100023, that added together give a palindrome (32100123).

The spelling of 32000100100023 in words is "thirty-two trillion, one hundred million, one hundred thousand, twenty-three".