10010120213993 has 2 divisors, whose sum is σ = 10010120213994. Its totient is φ = 10010120213992.

The previous prime is 10010120213983. The next prime is 10010120213999. The reversal of 10010120213993 is 39931202101001.

It is a happy number.

10010120213993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8314843301209 + 1695276912784 = 2883547^2 + 1302028^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010120213993 - 2²⁴ = 10010103436777 is a prime.

It is a super-2 number, since 2×10010120213993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010120213999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005060106996 + 5005060106997.

It is an arithmetic number, because the mean of its divisors is an integer number (5005060106997).

Almost surely, 2^{10010120213993} is an apocalyptic number.

It is an amenable number.

10010120213993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010120213993 is an equidigital number, since it uses as much as digits as its factorization.

10010120213993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

Adding to 10010120213993 its reverse (39931202101001), we get a palindrome (49941322314994).

The spelling of 10010120213993 in words is "ten trillion, ten billion, one hundred twenty million, two hundred thirteen thousand, nine hundred ninety-three".