11001000110100 has 1152 divisors, whose sum is σ = 44613501886464. Its totient is φ = 2019271680000.

The previous prime is 11001000110081. The next prime is 11001000110147. The reversal of 11001000110100 is 101100010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 677768985 + ... + 677785215.

Almost surely, 2^{11001000110100} is an apocalyptic number.

11001000110100 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 11001000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22306750943232).

11001000110100 is an abundant number, since it is smaller than the sum of its proper divisors (33612501776364).

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

11001000110100 is a wasteful number, since it uses less digits than its factorization.

11001000110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16377 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001000110100 its reverse (101100010011), we get a palindrome (11102100120111).

The spelling of 11001000110100 in words is "eleven trillion, one billion, one hundred ten thousand, one hundred".