101100102031 has 4 divisors (see below), whose sum is σ = 101110462992. Its totient is φ = 101089741072.

The previous prime is 101100102017. The next prime is 101100102079. The reversal of 101100102031 is 130201001101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 130201001101 = 61 ⋅2134442641.

It is a cyclic number.

It is not a de Polignac number, because 101100102031 - 2²³ = 101091713423 is a prime.

It is a super-2 number, since 2×101100102031² (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 = 101100101999 and 101100102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100106031) 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, 5165830 + ... + 5185363.

It is an arithmetic number, because the mean of its divisors is an integer number (25277615748).

Almost surely, 2^101100102031 is an apocalyptic number.

101100102031 is a deficient number, since it is larger than the sum of its proper divisors (10360961).

101100102031 is an equidigital number, since it uses as much as digits as its factorization.

101100102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360960.

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

Adding to 101100102031 its reverse (130201001101), we get a palindrome (231301103132).

The spelling of 101100102031 in words is "one hundred one billion, one hundred million, one hundred two thousand, thirty-one".