100110011200000 has 480 divisors, whose sum is σ = 258444408499200. Its totient is φ = 38697523200000.

The previous prime is 100110011199977. The next prime is 100110011200009. The reversal of 100110011200000 is 2110011001.

It is not an unprimeable number, because it can be changed into a prime (100110011200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64628799226 + ... + 64628800774.

It is an arithmetic number, because the mean of its divisors is an integer number (538425851040).

Almost surely, 2^{100110011200000} is an apocalyptic number.

100110011200000 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 100110011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129222204249600).

100110011200000 is an abundant number, since it is smaller than the sum of its proper divisors (158334397299200).

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

100110011200000 is an frugal number, since it uses more digits than its factorization.

100110011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2890 counting only the distinct ones).

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

Adding to 100110011200000 its reverse (2110011001), we get a palindrome (100112121211001).

The spelling of 100110011200000 in words is "one hundred trillion, one hundred ten billion, eleven million, two hundred thousand".