1100120193 has 24 divisors (see below), whose sum is σ = 1605450600. Its totient is φ = 725886720.

The previous prime is 1100120183. The next prime is 1100120209. The reversal of 1100120193 is 3910210011.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 1100116224 = 63^2 + 33168^2 .

It is not a de Polignac number, because 1100120193 - 2⁶ = 1100120129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100120113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418423 + ... + 421043.

It is an arithmetic number, because the mean of its divisors is an integer number (66893775).

Almost surely, 2^1100120193 is an apocalyptic number.

It is an amenable number.

1100120193 is a deficient number, since it is larger than the sum of its proper divisors (505330407).

1100120193 is a wasteful number, since it uses less digits than its factorization.

1100120193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1100120193 is about 33168.0598317116. The cubic root of 1100120193 is about 1032.3177119185.

The spelling of 1100120193 in words is "one billion, one hundred million, one hundred twenty thousand, one hundred ninety-three".