10112101200 has 90 divisors (see below), whose sum is σ = 35091812574. Its totient is φ = 2696559360.

The previous prime is 10112101193. The next prime is 10112101201. The reversal of 10112101200 is 210121101.

It is a happy number.

10112101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4613904 + 10107487296 = 2148^2 + 100536^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×10112101200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101201) 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 17 ways as a sum of consecutive naturals, for example, 1400859 + ... + 1408058.

Almost surely, 2^10112101200 is an apocalyptic number.

10112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112101200 is an abundant number, since it is smaller than the sum of its proper divisors (24979711374).

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

10112101200 is a wasteful number, since it uses less digits than its factorization.

10112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808941 (or 2808927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112101200 its reverse (210121101), we get a palindrome (10322222301).

The spelling of 10112101200 in words is "ten billion, one hundred twelve million, one hundred one thousand, two hundred".