122100000022129 has 2 divisors, whose sum is σ = 122100000022130. Its totient is φ = 122100000022128.

The previous prime is 122100000022127. The next prime is 122100000022213. The reversal of 122100000022129 is 921220000001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120237804090000 + 1862195932129 = 10965300^2 + 1364623^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100000022129 - 2¹ = 122100000022127 is a prime.

Together with 122100000022127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122100000022127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050000011064 + 61050000011065.

It is an arithmetic number, because the mean of its divisors is an integer number (61050000011065).

Almost surely, 2^{122100000022129} is an apocalyptic number.

It is an amenable number.

122100000022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100000022129 is an equidigital number, since it uses as much as digits as its factorization.

122100000022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 122100000022129 in words is "one hundred twenty-two trillion, one hundred billion, twenty-two thousand, one hundred twenty-nine".