10112113200 has 240 divisors, whose sum is σ = 38215141376. Its totient is φ = 2236723200.

The previous prime is 10112113199. The next prime is 10112113261. The reversal of 10112113200 is 231121101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10112113200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240984 + ... + 279816.

Almost surely, 2^10112113200 is an apocalyptic number.

10112113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107570688).

10112113200 is an abundant number, since it is smaller than the sum of its proper divisors (28103028176).

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

10112113200 is a wasteful number, since it uses less digits than its factorization.

10112113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38892 (or 38881 counting only the distinct ones).

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

Adding to 10112113200 its reverse (231121101), we get a palindrome (10343234301).

The spelling of 10112113200 in words is "ten billion, one hundred twelve million, one hundred thirteen thousand, two hundred".