201011022112129 has 2 divisors, whose sum is σ = 201011022112130. Its totient is φ = 201011022112128.

The previous prime is 201011022112099. The next prime is 201011022112177. The reversal of 201011022112129 is 921211220110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175506986889025 + 25504035223104 = 13247905^2 + 5050152^2 .

It is a cyclic number.

It is not a de Polignac number, because 201011022112129 - 2⁵ = 201011022112097 is a prime.

It is not a weakly prime, because it can be changed into another prime (201011022112189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505511056064 + 100505511056065.

It is an arithmetic number, because the mean of its divisors is an integer number (100505511056065).

Almost surely, 2^{201011022112129} is an apocalyptic number.

It is an amenable number.

201011022112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011022112129 is an equidigital number, since it uses as much as digits as its factorization.

201011022112129 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 25.

The spelling of 201011022112129 in words is "two hundred one trillion, eleven billion, twenty-two million, one hundred twelve thousand, one hundred twenty-nine".