100011112000 has 112 divisors (see below), whose sum is σ = 252948204288. Its totient is φ = 39153139200.

The previous prime is 100011111983. The next prime is 100011112001. The reversal of 100011112000 is 211110001.

It is not an unprimeable number, because it can be changed into a prime (100011112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243007 + ... + 508993.

Almost surely, 2^100011112000 is an apocalyptic number.

100011112000 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 100011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126474102144).

100011112000 is an abundant number, since it is smaller than the sum of its proper divisors (152937092288).

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

100011112000 is an equidigital number, since it uses as much as digits as its factorization.

100011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266061 (or 266041 counting only the distinct ones).

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

Adding to 100011112000 its reverse (211110001), we get a palindrome (100222222001).

The spelling of 100011112000 in words is "one hundred billion, eleven million, one hundred twelve thousand".