100100099459329 has 2 divisors, whose sum is σ = 100100099459330. Its totient is φ = 100100099459328.

The previous prime is 100100099459291. The next prime is 100100099459351. The reversal of 100100099459329 is 923954990001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68151298944400 + 31948800514929 = 8255380^2 + 5652327^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100099459329 - 2⁹ = 100100099458817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100099489329) 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, 50050049729664 + 50050049729665.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049729665).

Almost surely, 2^{100100099459329} is an apocalyptic number.

It is an amenable number.

100100099459329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099459329 is an equidigital number, since it uses as much as digits as its factorization.

100100099459329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 787320, while the sum is 52.

The spelling of 100100099459329 in words is "one hundred trillion, one hundred billion, ninety-nine million, four hundred fifty-nine thousand, three hundred twenty-nine".