100012102129 has 2 divisors, whose sum is σ = 100012102130. Its totient is φ = 100012102128.

The previous prime is 100012102111. The next prime is 100012102171. The reversal of 100012102129 is 921201210001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88653871504 + 11358230625 = 297748^2 + 106575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012102129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012102189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006051064 + 50006051065.

It is an arithmetic number, because the mean of its divisors is an integer number (50006051065).

Almost surely, 2^100012102129 is an apocalyptic number.

It is an amenable number.

100012102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012102129 is an equidigital number, since it uses as much as digits as its factorization.

100012102129 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 19.

The spelling of 100012102129 in words is "one hundred billion, twelve million, one hundred two thousand, one hundred twenty-nine".