100111200112129 has 2 divisors, whose sum is σ = 100111200112130. Its totient is φ = 100111200112128.

The previous prime is 100111200112103. The next prime is 100111200112153. The reversal of 100111200112129 is 921211002111001.

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., 75327679439104 + 24783520673025 = 8679152^2 + 4978305^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111200112129 - 2³⁹ = 99561444298241 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111200152129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600056064 + 50055600056065.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600056065).

Almost surely, 2^{100111200112129} is an apocalyptic number.

It is an amenable number.

100111200112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111200112129 is an equidigital number, since it uses as much as digits as its factorization.

100111200112129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 100111200112129 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred twenty-nine".