102212210020031 has 2 divisors, whose sum is σ = 102212210020032. Its totient is φ = 102212210020030.

The previous prime is 102212210019977. The next prime is 102212210020133. The reversal of 102212210020031 is 130020012212201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102212210020031 is a prime.

It is a super-2 number, since 2×102212210020031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212210019991 and 102212210020009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212210020231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106105010015 + 51106105010016.

It is an arithmetic number, because the mean of its divisors is an integer number (51106105010016).

Almost surely, 2^{102212210020031} is an apocalyptic number.

102212210020031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212210020031 is an equidigital number, since it uses as much as digits as its factorization.

102212210020031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102212210020031 its reverse (130020012212201), we get a palindrome (232232222232232).

The spelling of 102212210020031 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, twenty thousand, thirty-one".