2102000193 has 32 divisors (see below), whose sum is σ = 3197335680. Its totient is φ = 1364276160.

The previous prime is 2102000171. The next prime is 2102000209. The reversal of 2102000193 is 3910002012.

It is a happy number.

It is not a de Polignac number, because 2102000193 - 2⁵ = 2102000161 is a prime.

It is a super-2 number, since 2×2102000193² = 8836809622744074498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102000293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181855 + ... + 193067.

It is an arithmetic number, because the mean of its divisors is an integer number (99916740).

Almost surely, 2^2102000193 is an apocalyptic number.

It is an amenable number.

2102000193 is a deficient number, since it is larger than the sum of its proper divisors (1095335487).

2102000193 is a wasteful number, since it uses less digits than its factorization.

2102000193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2102000193 is about 45847.5756501911. The cubic root of 2102000193 is about 1280.9856082714.

The spelling of 2102000193 in words is "two billion, one hundred two million, one hundred ninety-three", and thus it is an aban number.