102020201102129 has 2 divisors, whose sum is σ = 102020201102130. Its totient is φ = 102020201102128.

The previous prime is 102020201102101. The next prime is 102020201102191. The reversal of 102020201102129 is 921201102020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87245033655025 + 14775167447104 = 9340505^2 + 3843848^2 .

It is a cyclic number.

It is not a de Polignac number, because 102020201102129 - 2³⁶ = 101951481625393 is a prime.

It is not a weakly prime, because it can be changed into another prime (102020201102429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010100551064 + 51010100551065.

It is an arithmetic number, because the mean of its divisors is an integer number (51010100551065).

Almost surely, 2^{102020201102129} is an apocalyptic number.

It is an amenable number.

102020201102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102020201102129 is an equidigital number, since it uses as much as digits as its factorization.

102020201102129 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 102020201102129 in words is "one hundred two trillion, twenty billion, two hundred one million, one hundred two thousand, one hundred twenty-nine".