101311031021 has 32 divisors (see below), whose sum is σ = 110170368000. Its totient is φ = 92810898432.

The previous prime is 101311031009. The next prime is 101311031033. The reversal of 101311031021 is 120130113101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101311031009) and next prime (101311031033).

It is a cyclic number.

It is not a de Polignac number, because 101311031021 - 2³⁰ = 100237289197 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 = 101311030987 and 101311031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311034021) 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 31 ways as a sum of consecutive naturals, for example, 45247220 + ... + 45249458.

It is an arithmetic number, because the mean of its divisors is an integer number (3442824000).

Almost surely, 2^101311031021 is an apocalyptic number.

It is an amenable number.

101311031021 is a deficient number, since it is larger than the sum of its proper divisors (8859336979).

101311031021 is a wasteful number, since it uses less digits than its factorization.

101311031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741.

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

Adding to 101311031021 its reverse (120130113101), we get a palindrome (221441144122).

The spelling of 101311031021 in words is "one hundred one billion, three hundred eleven million, thirty-one thousand, twenty-one".