10201101122129 has 2 divisors, whose sum is σ = 10201101122130. Its totient is φ = 10201101122128.

The previous prime is 10201101122099. The next prime is 10201101122161. The reversal of 10201101122129 is 92122110110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10063201785025 + 137899337104 = 3172255^2 + 371348^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201101122129 - 2¹⁶ = 10201101056593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201101122029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100550561064 + 5100550561065.

It is an arithmetic number, because the mean of its divisors is an integer number (5100550561065).

Almost surely, 2^{10201101122129} is an apocalyptic number.

It is an amenable number.

10201101122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201101122129 is an equidigital number, since it uses as much as digits as its factorization.

10201101122129 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 10201101122129 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-nine".