102213302129969 has 2 divisors, whose sum is σ = 102213302129970. Its totient is φ = 102213302129968.

The previous prime is 102213302129947. The next prime is 102213302130113. The reversal of 102213302129969 is 969921203312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77694088080625 + 24519214049344 = 8814425^2 + 4951688^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213302129969 - 2²⁰ = 102213301081393 is a prime.

It is a super-2 number, since 2×102213302129969² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102213322129969) 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, 51106651064984 + 51106651064985.

It is an arithmetic number, because the mean of its divisors is an integer number (51106651064985).

Almost surely, 2^{102213302129969} is an apocalyptic number.

It is an amenable number.

102213302129969 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213302129969 is an equidigital number, since it uses as much as digits as its factorization.

102213302129969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 50.

The spelling of 102213302129969 in words is "one hundred two trillion, two hundred thirteen billion, three hundred two million, one hundred twenty-nine thousand, nine hundred sixty-nine".