100121011129 has 2 divisors, whose sum is σ = 100121011130. Its totient is φ = 100121011128.

The previous prime is 100121011117. The next prime is 100121011153. The reversal of 100121011129 is 921110121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100031140729 + 89870400 = 316277^2 + 9480^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121011129 - 2⁹ = 100121010617 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060505564 + 50060505565.

It is an arithmetic number, because the mean of its divisors is an integer number (50060505565).

Almost surely, 2^100121011129 is an apocalyptic number.

It is an amenable number.

100121011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121011129 is an equidigital number, since it uses as much as digits as its factorization.

100121011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 100121011129 in words is "one hundred billion, one hundred twenty-one million, eleven thousand, one hundred twenty-nine".