10031102021 has 2 divisors, whose sum is σ = 10031102022. Its totient is φ = 10031102020.

The previous prime is 10031102009. The next prime is 10031102023. The reversal of 10031102021 is 12020113001.

10031102021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10030022500 + 1079521 = 100150^2 + 1039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031102021 is a prime.

Together with 10031102023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031101993 and 10031102011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015551010 + 5015551011.

It is an arithmetic number, because the mean of its divisors is an integer number (5015551011).

Almost surely, 2^10031102021 is an apocalyptic number.

It is an amenable number.

10031102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031102021 is an equidigital number, since it uses as much as digits as its factorization.

10031102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10031102021 its reverse (12020113001), we get a palindrome (22051215022).

The spelling of 10031102021 in words is "ten billion, thirty-one million, one hundred two thousand, twenty-one".