100111002031 has 4 divisors (see below), whose sum is σ = 100118330032. Its totient is φ = 100103674032.

The previous prime is 100111002001. The next prime is 100111002073. The reversal of 100111002031 is 130200111001.

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 100111002031 - 2⁵ = 100111001999 is a prime.

It is a super-2 number, since 2×100111002031² (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 = 100111001999 and 100111002017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111002001) 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, 3643470 + ... + 3670843.

It is an arithmetic number, because the mean of its divisors is an integer number (25029582508).

Almost surely, 2^100111002031 is an apocalyptic number.

100111002031 is a deficient number, since it is larger than the sum of its proper divisors (7328001).

100111002031 is an equidigital number, since it uses as much as digits as its factorization.

100111002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328000.

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

Adding to 100111002031 its reverse (130200111001), we get a palindrome (230311113032).

The spelling of 100111002031 in words is "one hundred billion, one hundred eleven million, two thousand, thirty-one".