100001011129 has 2 divisors, whose sum is σ = 100001011130. Its totient is φ = 100001011128.

The previous prime is 100001011093. The next prime is 100001011133. The reversal of 100001011129 is 921110100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69558787600 + 30442223529 = 263740^2 + 174477^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001011129 - 2¹⁹ = 100000486841 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001011169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505564 + 50000505565.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505565).

Almost surely, 2^100001011129 is an apocalyptic number.

It is an amenable number.

100001011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011129 is an equidigital number, since it uses as much as digits as its factorization.

100001011129 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 100001011129 in words is "one hundred billion, one million, eleven thousand, one hundred twenty-nine".