102121122202129 has 2 divisors, whose sum is σ = 102121122202130. Its totient is φ = 102121122202128.

The previous prime is 102121122202117. The next prime is 102121122202171. The reversal of 102121122202129 is 921202221121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91236883240000 + 10884238962129 = 9551800^2 + 3299127^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121122202129 - 2²⁷ = 102120987984401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121122202097 and 102121122202106.

It is not a weakly prime, because it can be changed into another prime (102121122202189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060561101064 + 51060561101065.

It is an arithmetic number, because the mean of its divisors is an integer number (51060561101065).

Almost surely, 2^{102121122202129} is an apocalyptic number.

It is an amenable number.

102121122202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121122202129 is an equidigital number, since it uses as much as digits as its factorization.

102121122202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 102121122202129 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-nine".