101100310031021 has 16 divisors (see below), whose sum is σ = 115665381229824. Its totient is φ = 86565788340864.

The previous prime is 101100310030997. The next prime is 101100310031027. The reversal of 101100310031021 is 120130013001101.

It is a happy number.

It is not a de Polignac number, because 101100310031021 - 2⁶ = 101100310030957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100310030987 and 101100310031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100310031027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179677895 + ... + 180239691.

It is an arithmetic number, because the mean of its divisors is an integer number (7229086326864).

Almost surely, 2^{101100310031021} is an apocalyptic number.

It is an amenable number.

101100310031021 is a deficient number, since it is larger than the sum of its proper divisors (14565071198803).

101100310031021 is an equidigital number, since it uses as much as digits as its factorization.

101100310031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588940.

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

Adding to 101100310031021 its reverse (120130013001101), we get a palindrome (221230323032122).

The spelling of 101100310031021 in words is "one hundred one trillion, one hundred billion, three hundred ten million, thirty-one thousand, twenty-one".