100110133200 has 240 divisors, whose sum is σ = 399816838656. Its totient is φ = 20802086400.

The previous prime is 100110133199. The next prime is 100110133217. The reversal of 100110133200 is 2331011001.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449322 + ... + 634121.

Almost surely, 2^100110133200 is an apocalyptic number.

100110133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110133200 is an abundant number, since it is smaller than the sum of its proper divisors (299706705456).

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

100110133200 is a wasteful number, since it uses less digits than its factorization.

100110133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083482 (or 1083471 counting only the distinct ones).

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

Adding to 100110133200 its reverse (2331011001), we get a palindrome (102441144201).

It can be divided in two parts, 1001101 and 33200, that added together give a palindrome (1034301).

The spelling of 100110133200 in words is "one hundred billion, one hundred ten million, one hundred thirty-three thousand, two hundred".