2010120011993 has 2 divisors, whose sum is σ = 2010120011994. Its totient is φ = 2010120011992.

The previous prime is 2010120011983. The next prime is 2010120012001. The reversal of 2010120011993 is 3991100210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1895586500809 + 114533511184 = 1376803^2 + 338428^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010120011993 - 2⁸ = 2010120011737 is a prime.

It is a super-2 number, since 2×2010120011993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010120011983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060005996 + 1005060005997.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060005997).

Almost surely, 2^{2010120011993} is an apocalyptic number.

It is an amenable number.

2010120011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010120011993 is an equidigital number, since it uses as much as digits as its factorization.

2010120011993 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 29.

The spelling of 2010120011993 in words is "two trillion, ten billion, one hundred twenty million, eleven thousand, nine hundred ninety-three".