100110011200 has 168 divisors, whose sum is σ = 254638860800. Its totient is φ = 38697523200.

The previous prime is 100110011189. The next prime is 100110011201. The reversal of 100110011200 is 2110011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64628026 + ... + 64629574.

Almost surely, 2^100110011200 is an apocalyptic number.

100110011200 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 100110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127319430400).

100110011200 is an abundant number, since it is smaller than the sum of its proper divisors (154528849600).

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

100110011200 is a wasteful number, since it uses less digits than its factorization.

100110011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100110011200 its reverse (2110011001), we get a palindrome (102220022201).

The spelling of 100110011200 in words is "one hundred billion, one hundred ten million, eleven thousand, two hundred".