101200012129 has 2 divisors, whose sum is σ = 101200012130. Its totient is φ = 101200012128.

The previous prime is 101200012117. The next prime is 101200012159. The reversal of 101200012129 is 921210002101.

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., 89489525904 + 11710486225 = 299148^2 + 108215^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200012129 - 2³³ = 92610077537 is a prime.

It is a super-2 number, since 2×101200012129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101200012159) 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, 50600006064 + 50600006065.

It is an arithmetic number, because the mean of its divisors is an integer number (50600006065).

Almost surely, 2^101200012129 is an apocalyptic number.

It is an amenable number.

101200012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200012129 is an equidigital number, since it uses as much as digits as its factorization.

101200012129 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101200012129 in words is "one hundred one billion, two hundred million, twelve thousand, one hundred twenty-nine".