10122100001129 has 2 divisors, whose sum is σ = 10122100001130. Its totient is φ = 10122100001128.

The previous prime is 10122100001113. The next prime is 10122100001203. The reversal of 10122100001129 is 92110000122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8639484490000 + 1482615511129 = 2939300^2 + 1217627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122100001129 - 2⁴ = 10122100001113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122100001129.

It is not a weakly prime, because it can be changed into another prime (10122100001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061050000564 + 5061050000565.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050000565).

Almost surely, 2^{10122100001129} is an apocalyptic number.

It is an amenable number.

10122100001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122100001129 is an equidigital number, since it uses as much as digits as its factorization.

10122100001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10122100001129 in words is "ten trillion, one hundred twenty-two billion, one hundred million, one thousand, one hundred twenty-nine".