101875129 has 2 divisors, whose sum is σ = 101875130. Its totient is φ = 101875128.

The previous prime is 101875121. The next prime is 101875139. The reversal of 101875129 is 921578101.

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., 93083904 + 8791225 = 9648^2 + 2965^2 .

It is a cyclic number.

It is not a de Polignac number, because 101875129 - 2³ = 101875121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101875094 and 101875103.

It is not a weakly prime, because it can be changed into another prime (101875121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50937564 + 50937565.

It is an arithmetic number, because the mean of its divisors is an integer number (50937565).

Almost surely, 2^101875129 is an apocalyptic number.

It is an amenable number.

101875129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101875129 is an equidigital number, since it uses as much as digits as its factorization.

101875129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 101875129 is about 10093.3210094597. The cubic root of 101875129 is about 467.0421288455.

The spelling of 101875129 in words is "one hundred one million, eight hundred seventy-five thousand, one hundred twenty-nine".