100100099486729 has 2 divisors, whose sum is σ = 100100099486730. Its totient is φ = 100100099486728.

The previous prime is 100100099486663. The next prime is 100100099486767. The reversal of 100100099486729 is 927684990001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52913476447225 + 47186623039504 = 7274165^2 + 6869252^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100099486729 - 2³² = 100095804519433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100099486329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050049743364 + 50050049743365.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049743365).

Almost surely, 2^{100100099486729} is an apocalyptic number.

It is an amenable number.

100100099486729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099486729 is an equidigital number, since it uses as much as digits as its factorization.

100100099486729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 100100099486729 in words is "one hundred trillion, one hundred billion, ninety-nine million, four hundred eighty-six thousand, seven hundred twenty-nine".