10110313200 has 120 divisors (see below), whose sum is σ = 34878041968. Its totient is φ = 2488688640.

The previous prime is 10110313183. The next prime is 10110313217. The reversal of 10110313200 is 231301101.

10110313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10110313183) and next prime (10110313217).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 308449 + ... + 339648.

Almost surely, 2^10110313200 is an apocalyptic number.

10110313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110313200 is an abundant number, since it is smaller than the sum of its proper divisors (24767728768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10110313200 is a wasteful number, since it uses less digits than its factorization.

10110313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648131 (or 648120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10110313200 its reverse (231301101), we get a palindrome (10341614301).

The spelling of 10110313200 in words is "ten billion, one hundred ten million, three hundred thirteen thousand, two hundred".