10011000110000 has 100 divisors (see below), whose sum is σ = 24240320102064. Its totient is φ = 4003956000000.

The previous prime is 10011000109993. The next prime is 10011000110039. The reversal of 10011000110000 is 1100011001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98959445 + ... + 99060555.

Almost surely, 2^{10011000110000} is an apocalyptic number.

10011000110000 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 10011000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120160051032).

10011000110000 is an abundant number, since it is smaller than the sum of its proper divisors (14229319992064).

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

10011000110000 is an equidigital number, since it uses as much as digits as its factorization.

10011000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111040 (or 111019 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011000110000 its reverse (1100011001), we get a palindrome (10012100121001).

The spelling of 10011000110000 in words is "ten trillion, eleven billion, one hundred ten thousand".