10100100031 has 4 divisors (see below), whose sum is σ = 11542971472. Its totient is φ = 8657228592.

The previous prime is 10100100029. The next prime is 10100100041. The reversal of 10100100031 is 13000100101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13000100101 = 937 ⋅13874173.

It is a cyclic number.

It is not a de Polignac number, because 10100100031 - 2¹ = 10100100029 is a prime.

It is a super-2 number, since 2×10100100031² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 1442871433 = 10100100031 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100099987 and 10100100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100041) 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, 721435710 + ... + 721435723.

It is an arithmetic number, because the mean of its divisors is an integer number (2885742868).

Almost surely, 2^10100100031 is an apocalyptic number.

10100100031 is a deficient number, since it is larger than the sum of its proper divisors (1442871441).

10100100031 is an equidigital number, since it uses as much as digits as its factorization.

10100100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442871440.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100100031 its reverse (13000100101), we get a palindrome (23100200132).

The spelling of 10100100031 in words is "ten billion, one hundred million, one hundred thousand, thirty-one".