1102100122129 has 2 divisors, whose sum is σ = 1102100122130. Its totient is φ = 1102100122128.

The previous prime is 1102100122121. The next prime is 1102100122147. The reversal of 1102100122129 is 9212210012011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 747962063104 + 354138059025 = 864848^2 + 595095^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102100122129 - 2³ = 1102100122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1102100122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551050061064 + 551050061065.

It is an arithmetic number, because the mean of its divisors is an integer number (551050061065).

Almost surely, 2^{1102100122129} is an apocalyptic number.

It is an amenable number.

1102100122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102100122129 is an equidigital number, since it uses as much as digits as its factorization.

1102100122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 1102100122129 in words is "one trillion, one hundred two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-nine".