102220002110129 has 2 divisors, whose sum is σ = 102220002110130. Its totient is φ = 102220002110128.

The previous prime is 102220002110053. The next prime is 102220002110137. The reversal of 102220002110129 is 921011200022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85623560890000 + 16596441220129 = 9253300^2 + 4073873^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220002110129 - 2²⁰ = 102220001061553 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220002110189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110001055064 + 51110001055065.

It is an arithmetic number, because the mean of its divisors is an integer number (51110001055065).

Almost surely, 2^{102220002110129} is an apocalyptic number.

It is an amenable number.

102220002110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220002110129 is an equidigital number, since it uses as much as digits as its factorization.

102220002110129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 102220002110129 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred ten thousand, one hundred twenty-nine".