122102100110129 has 2 divisors, whose sum is σ = 122102100110130. Its totient is φ = 122102100110128.

The previous prime is 122102100110033. The next prime is 122102100110171. The reversal of 122102100110129 is 921011001201221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108708732617104 + 13393367493025 = 10426348^2 + 3659695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122102100110129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102100710129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051050055064 + 61051050055065.

It is an arithmetic number, because the mean of its divisors is an integer number (61051050055065).

Almost surely, 2^{122102100110129} is an apocalyptic number.

It is an amenable number.

122102100110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102100110129 is an equidigital number, since it uses as much as digits as its factorization.

122102100110129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 122102100110129 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred million, one hundred ten thousand, one hundred twenty-nine".