10110233113200 has 1080 divisors, whose sum is σ = 39547183568256. Its totient is φ = 2372025600000.

The previous prime is 10110233113199. The next prime is 10110233113217. The reversal of 10110233113200 is 231133201101.

10110233113200 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 2 + 331 + 1 + 320 + 0 = 666.

10110233113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13607312029 + ... + 13607312771.

Almost surely, 2^{10110233113200} is an apocalyptic number.

10110233113200 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 10110233113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773591784128).

10110233113200 is an abundant number, since it is smaller than the sum of its proper divisors (29436950455056).

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

10110233113200 is a wasteful number, since it uses less digits than its factorization.

10110233113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1052 counting only the distinct ones).

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

Adding to 10110233113200 its reverse (231133201101), we get a palindrome (10341366314301).

The spelling of 10110233113200 in words is "ten trillion, one hundred ten billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".