10022100310031 has 2 divisors, whose sum is σ = 10022100310032. Its totient is φ = 10022100310030.

The previous prime is 10022100310021. The next prime is 10022100310037. The reversal of 10022100310031 is 13001300122001.

It is a strong prime.

It is an emirp because it is prime and its reverse (13001300122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022100310031 is a prime.

It is a super-2 number, since 2×10022100310031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022100309988 and 10022100310015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022100310037) 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 as a sum of consecutive naturals, namely, 5011050155015 + 5011050155016.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050155016).

Almost surely, 2^{10022100310031} is an apocalyptic number.

10022100310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022100310031 is an equidigital number, since it uses as much as digits as its factorization.

10022100310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10022100310031 its reverse (13001300122001), we get a palindrome (23023400432032).

The spelling of 10022100310031 in words is "ten trillion, twenty-two billion, one hundred million, three hundred ten thousand, thirty-one".