100111100099993 has 2 divisors, whose sum is σ = 100111100099994. Its totient is φ = 100111100099992.

The previous prime is 100111100099981. The next prime is 100111100100013. The reversal of 100111100099993 is 399990001111001.

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., 97439957684224 + 2671142415769 = 9871168^2 + 1634363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111100099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111100099953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550049996 + 50055550049997.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550049997).

Almost surely, 2^{100111100099993} is an apocalyptic number.

It is an amenable number.

100111100099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100099993 is an equidigital number, since it uses as much as digits as its factorization.

100111100099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 44.

The spelling of 100111100099993 in words is "one hundred trillion, one hundred eleven billion, one hundred million, ninety-nine thousand, nine hundred ninety-three".