12001101022129 has 2 divisors, whose sum is σ = 12001101022130. Its totient is φ = 12001101022128.

The previous prime is 12001101022063. The next prime is 12001101022139. The reversal of 12001101022129 is 92122010110021.

12001101022129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7871475528225 + 4129625493904 = 2805615^2 + 2032148^2 .

It is an emirp because it is prime and its reverse (92122010110021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12001101022129 - 2³³ = 11992511087537 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001101022139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000550511064 + 6000550511065.

It is an arithmetic number, because the mean of its divisors is an integer number (6000550511065).

Almost surely, 2^{12001101022129} is an apocalyptic number.

It is an amenable number.

12001101022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001101022129 is an equidigital number, since it uses as much as digits as its factorization.

12001101022129 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 22.

The spelling of 12001101022129 in words is "twelve trillion, one billion, one hundred one million, twenty-two thousand, one hundred twenty-nine".