102221011112131 has 2 divisors, whose sum is σ = 102221011112132. Its totient is φ = 102221011112130.

The previous prime is 102221011112111. The next prime is 102221011112197. The reversal of 102221011112131 is 131211110122201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221011112131 is a prime.

It is a super-2 number, since 2×102221011112131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221011112099 and 102221011112108.

It is not a weakly prime, because it can be changed into another prime (102221011112111) 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, 51110505556065 + 51110505556066.

It is an arithmetic number, because the mean of its divisors is an integer number (51110505556066).

Almost surely, 2^{102221011112131} is an apocalyptic number.

102221011112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221011112131 is an equidigital number, since it uses as much as digits as its factorization.

102221011112131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 102221011112131 its reverse (131211110122201), we get a palindrome (233432121234332).

The spelling of 102221011112131 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred thirty-one".