102212112221929 has 2 divisors, whose sum is σ = 102212112221930. Its totient is φ = 102212112221928.

The previous prime is 102212112221881. The next prime is 102212112222019. The reversal of 102212112221929 is 929122211212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100796780857600 + 1415331364329 = 10039760^2 + 1189677^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212112221929 - 2²¹ = 102212110124777 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212112221029) 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, 51106056110964 + 51106056110965.

It is an arithmetic number, because the mean of its divisors is an integer number (51106056110965).

Almost surely, 2^{102212112221929} is an apocalyptic number.

It is an amenable number.

102212112221929 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212112221929 is an equidigital number, since it uses as much as digits as its factorization.

102212112221929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 102212112221929 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, nine hundred twenty-nine".