10100101100993 has 2 divisors, whose sum is σ = 10100101100994. Its totient is φ = 10100101100992.

The previous prime is 10100101100989. The next prime is 10100101101053. The reversal of 10100101100993 is 39900110100101.

It is a happy number.

10100101100993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9986402656129 + 113698444864 = 3160127^2 + 337192^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101100993 - 2² = 10100101100989 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100101100933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050550496 + 5050050550497.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050550497).

Almost surely, 2^{10100101100993} is an apocalyptic number.

It is an amenable number.

10100101100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101100993 is an equidigital number, since it uses as much as digits as its factorization.

10100101100993 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10100101100993 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, nine hundred ninety-three".