100110001129 has 2 divisors, whose sum is σ = 100110001130. Its totient is φ = 100110001128.

The previous prime is 100110001073. The next prime is 100110001139. The reversal of 100110001129 is 921100011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62613551529 + 37496449600 = 250227^2 + 193640^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001129 - 2²¹ = 100107903977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000564 + 50055000565.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000565).

Almost surely, 2^100110001129 is an apocalyptic number.

It is an amenable number.

100110001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001129 is an equidigital number, since it uses as much as digits as its factorization.

100110001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100110001129 in words is "one hundred billion, one hundred ten million, one thousand, one hundred twenty-nine".