102201111202129 has 2 divisors, whose sum is σ = 102201111202130. Its totient is φ = 102201111202128.

The previous prime is 102201111202097. The next prime is 102201111202133. The reversal of 102201111202129 is 921202111102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82458240745104 + 19742870457025 = 9080652^2 + 4443295^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201111202129 - 2⁵ = 102201111202097 is a prime.

It is a super-3 number, since 3×102201111202129³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102201111208129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100555601064 + 51100555601065.

It is an arithmetic number, because the mean of its divisors is an integer number (51100555601065).

Almost surely, 2^{102201111202129} is an apocalyptic number.

It is an amenable number.

102201111202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201111202129 is an equidigital number, since it uses as much as digits as its factorization.

102201111202129 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 25.

The spelling of 102201111202129 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, two hundred two thousand, one hundred twenty-nine".