100102010031131 has 4 divisors (see below), whose sum is σ = 105990363562392. Its totient is φ = 94213656499872.

The previous prime is 100102010031047. The next prime is 100102010031151. The reversal of 100102010031131 is 131130010201001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100102010031131 - 2¹⁰ = 100102010030107 is a prime.

It is a super-3 number, since 3×100102010031131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100102010031151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2944176765605 + ... + 2944176765638.

It is an arithmetic number, because the mean of its divisors is an integer number (26497590890598).

Almost surely, 2^{100102010031131} is an apocalyptic number.

100102010031131 is a deficient number, since it is larger than the sum of its proper divisors (5888353531261).

100102010031131 is an equidigital number, since it uses as much as digits as its factorization.

100102010031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888353531260.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100102010031131 its reverse (131130010201001), we get a palindrome (231232020232132).

The spelling of 100102010031131 in words is "one hundred trillion, one hundred two billion, ten million, thirty-one thousand, one hundred thirty-one".