101031031021 has 2 divisors, whose sum is σ = 101031031022. Its totient is φ = 101031031020.

The previous prime is 101031031019. The next prime is 101031031051. The reversal of 101031031021 is 120130130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53326355625 + 47704675396 = 230925^2 + 218414^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031031021 - 2¹ = 101031031019 is a prime.

Together with 101031031019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101031030992 and 101031031010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031031051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515515510 + 50515515511.

It is an arithmetic number, because the mean of its divisors is an integer number (50515515511).

Almost surely, 2^101031031021 is an apocalyptic number.

It is an amenable number.

101031031021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031031021 is an equidigital number, since it uses as much as digits as its factorization.

101031031021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101031031021 its reverse (120130130101), we get a palindrome (221161161122).

The spelling of 101031031021 in words is "one hundred one billion, thirty-one million, thirty-one thousand, twenty-one".