10100100110993 has 2 divisors, whose sum is σ = 10100100110994. Its totient is φ = 10100100110992.

The previous prime is 10100100110951. The next prime is 10100100111029. The reversal of 10100100110993 is 39901100100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5740974137089 + 4359125973904 = 2396033^2 + 2087852^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100110993 - 2¹² = 10100100106897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100100110693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050055496 + 5050050055497.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050055497).

Almost surely, 2^{10100100110993} is an apocalyptic number.

It is an amenable number.

10100100110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100110993 is an equidigital number, since it uses as much as digits as its factorization.

10100100110993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 10100100110993 in words is "ten trillion, one hundred billion, one hundred million, one hundred ten thousand, nine hundred ninety-three".