10102121110993 has 2 divisors, whose sum is σ = 10102121110994. Its totient is φ = 10102121110992.

The previous prime is 10102121110979. The next prime is 10102121110997. The reversal of 10102121110993 is 39901112120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7581828334144 + 2520292776849 = 2753512^2 + 1587543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102121110993 - 2⁹ = 10102121110481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102121110997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051060555496 + 5051060555497.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060555497).

Almost surely, 2^{10102121110993} is an apocalyptic number.

It is an amenable number.

10102121110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102121110993 is an equidigital number, since it uses as much as digits as its factorization.

10102121110993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 31.

The spelling of 10102121110993 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred ten thousand, nine hundred ninety-three".