100233113200110 has 256 divisors, whose sum is σ = 292576639472640. Its totient is φ = 24216625728000.

The previous prime is 100233113200039. The next prime is 100233113200133. The reversal of 100233113200110 is 11002311332001.

100233113200110 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 1 + 320 + 0 + 1 + 10 = 666.

100233113200110 is digitally balanced in base 3, 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 127 ways as a sum of consecutive naturals, for example, 1049173045 + ... + 1049268575.

It is an arithmetic number, because the mean of its divisors is an integer number (1142877497940).

Almost surely, 2^{100233113200110} is an apocalyptic number.

100233113200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100233113200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146288319736320).

100233113200110 is an abundant number, since it is smaller than the sum of its proper divisors (192343526272530).

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

100233113200110 is a wasteful number, since it uses less digits than its factorization.

100233113200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96752 (or 96746 counting only the distinct ones).

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

Adding to 100233113200110 its reverse (11002311332001), we get a palindrome (111235424532111).

The spelling of 100233113200110 in words is "one hundred trillion, two hundred thirty-three billion, one hundred thirteen million, two hundred thousand, one hundred ten".