102100213313129 has 2 divisors, whose sum is σ = 102100213313130. Its totient is φ = 102100213313128.

The previous prime is 102100213313093. The next prime is 102100213313149. The reversal of 102100213313129 is 921313312001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101015605625104 + 1084607688025 = 10050652^2 + 1041445^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100213313129 - 2⁴⁴ = 84508027268713 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100213313149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050106656564 + 51050106656565.

It is an arithmetic number, because the mean of its divisors is an integer number (51050106656565).

Almost surely, 2^{102100213313129} is an apocalyptic number.

It is an amenable number.

102100213313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100213313129 is an equidigital number, since it uses as much as digits as its factorization.

102100213313129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 102100213313129 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twenty-nine".