100102132031 has 16 divisors (see below), whose sum is σ = 109736567808. Its totient is φ = 90557546400.

The previous prime is 100102132021. The next prime is 100102132043. The reversal of 100102132031 is 130231201001.

It is a cyclic number.

It is not a de Polignac number, because 100102132031 - 2¹⁰ = 100102131007 is a prime.

It is a super-2 number, since 2×100102132031² (a number of 23 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 = 100102131997 and 100102132015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102132021) 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, 2523110 + ... + 2562476.

It is an arithmetic number, because the mean of its divisors is an integer number (6858535488).

Almost surely, 2^100102132031 is an apocalyptic number.

100102132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102132031 is a deficient number, since it is larger than the sum of its proper divisors (9634435777).

100102132031 is a wasteful number, since it uses less digits than its factorization.

100102132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40502.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100102132031 its reverse (130231201001), we get a palindrome (230333333032).

The spelling of 100102132031 in words is "one hundred billion, one hundred two million, one hundred thirty-two thousand, thirty-one".