100110099991841 has 2 divisors, whose sum is σ = 100110099991842. Its totient is φ = 100110099991840.

The previous prime is 100110099991817. The next prime is 100110099991903. The reversal of 100110099991841 is 148199990011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66279544500625 + 33830555491216 = 8141225^2 + 5816404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110099991841 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110099990841) 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, 50055049995920 + 50055049995921.

It is an arithmetic number, because the mean of its divisors is an integer number (50055049995921).

Almost surely, 2^{100110099991841} is an apocalyptic number.

It is an amenable number.

100110099991841 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110099991841 is an equidigital number, since it uses as much as digits as its factorization.

100110099991841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 53.

The spelling of 100110099991841 in words is "one hundred trillion, one hundred ten billion, ninety-nine million, nine hundred ninety-one thousand, eight hundred forty-one".