100101102031 has 16 divisors (see below), whose sum is σ = 118681473600. Its totient is φ = 82607551488.

The previous prime is 100101101983. The next prime is 100101102043. The reversal of 100101102031 is 130201101001.

It is not a de Polignac number, because 100101102031 - 2⁹ = 100101101519 is a prime.

It is a super-2 number, since 2×100101102031² (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 = 100101101999 and 100101102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101102061) 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, 626796 + ... + 770113.

It is an arithmetic number, because the mean of its divisors is an integer number (7417592100).

Almost surely, 2^100101102031 is an apocalyptic number.

100101102031 is a deficient number, since it is larger than the sum of its proper divisors (18580371569).

100101102031 is a wasteful number, since it uses less digits than its factorization.

100101102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397298.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101102031 its reverse (130201101001), we get a palindrome (230302203032).

The spelling of 100101102031 in words is "one hundred billion, one hundred one million, one hundred two thousand, thirty-one".