101332129 has 2 divisors, whose sum is σ = 101332130. Its totient is φ = 101332128.

The previous prime is 101332109. The next prime is 101332139. The reversal of 101332129 is 921233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63632529 + 37699600 = 7977^2 + 6140^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332129 - 2⁵ = 101332097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101332109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666064 + 50666065.

It is an arithmetic number, because the mean of its divisors is an integer number (50666065).

Almost surely, 2^101332129 is an apocalyptic number.

It is an amenable number.

101332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332129 is an equidigital number, since it uses as much as digits as its factorization.

101332129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 101332129 is about 10066.3860943240. The cubic root of 101332129 is about 466.2108635125.

The spelling of 101332129 in words is "one hundred one million, three hundred thirty-two thousand, one hundred twenty-nine".