101400329 has 2 divisors, whose sum is σ = 101400330. Its totient is φ = 101400328.

The previous prime is 101400323. The next prime is 101400337. The reversal of 101400329 is 923004101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55160329 + 46240000 = 7427^2 + 6800^2 .

It is an emirp because it is prime and its reverse (923004101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101400329 - 2⁸ = 101400073 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101400329.

It is not a weakly prime, because it can be changed into another prime (101400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50700164 + 50700165.

It is an arithmetic number, because the mean of its divisors is an integer number (50700165).

Almost surely, 2^101400329 is an apocalyptic number.

It is an amenable number.

101400329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101400329 is an equidigital number, since it uses as much as digits as its factorization.

101400329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101400329 is about 10069.7730361712. The cubic root of 101400329 is about 466.3154320263.

The spelling of 101400329 in words is "one hundred one million, four hundred thousand, three hundred twenty-nine".