102001000021129 has 12 divisors (see below), whose sum is σ = 112141064745220. Its totient is φ = 92708114637600.

The previous prime is 102001000021031. The next prime is 102001000021187. The reversal of 102001000021129 is 921120000100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75197548409104 + 26803451612025 = 8671652^2 + 5177205^2 .

It is not a de Polignac number, because 102001000021129 - 2⁷ = 102001000021001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001000021729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90653094 + ... + 91771375.

Almost surely, 2^{102001000021129} is an apocalyptic number.

It is an amenable number.

102001000021129 is a deficient number, since it is larger than the sum of its proper divisors (10140064724091).

102001000021129 is a wasteful number, since it uses less digits than its factorization.

102001000021129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182429112 (or 182429101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 102001000021129 in words is "one hundred two trillion, one billion, twenty-one thousand, one hundred twenty-nine".