201012100111129 has 2 divisors, whose sum is σ = 201012100111130. Its totient is φ = 201012100111128.

The previous prime is 201012100111079. The next prime is 201012100111139. The reversal of 201012100111129 is 921111001210102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192192417769104 + 8819682342025 = 13863348^2 + 2969795^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012100111129 - 2³³ = 201003510176537 is a prime.

It is not a weakly prime, because it can be changed into another prime (201012100111139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506050055564 + 100506050055565.

It is an arithmetic number, because the mean of its divisors is an integer number (100506050055565).

Almost surely, 2^{201012100111129} is an apocalyptic number.

It is an amenable number.

201012100111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012100111129 is an equidigital number, since it uses as much as digits as its factorization.

201012100111129 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 22.

The spelling of 201012100111129 in words is "two hundred one trillion, twelve billion, one hundred million, one hundred eleven thousand, one hundred twenty-nine".