100110010992809 has 2 divisors, whose sum is σ = 100110010992810. Its totient is φ = 100110010992808.

The previous prime is 100110010992787. The next prime is 100110010992857. The reversal of 100110010992809 is 908299010011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94654997646400 + 5455013346409 = 9729080^2 + 2335597^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110010992809 - 2³⁶ = 100041291516073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110010992899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005496404 + 50055005496405.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005496405).

Almost surely, 2^{100110010992809} is an apocalyptic number.

It is an amenable number.

100110010992809 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010992809 is an equidigital number, since it uses as much as digits as its factorization.

100110010992809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 41.

The spelling of 100110010992809 in words is "one hundred trillion, one hundred ten billion, ten million, nine hundred ninety-two thousand, eight hundred nine".