10011100110000 has 800 divisors, whose sum is σ = 36516330233856. Its totient is φ = 2341584000000.

The previous prime is 10011100109999. The next prime is 10011100110007. The reversal of 10011100110000 is 1100111001.

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 not an unprimeable number, because it can be changed into a prime (10011100110007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1101205455 + ... + 1101214545.

Almost surely, 2^{10011100110000} is an apocalyptic number.

10011100110000 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 10011100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258165116928).

10011100110000 is an abundant number, since it is smaller than the sum of its proper divisors (26505230123856).

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

10011100110000 is a wasteful number, since it uses less digits than its factorization.

10011100110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9230 counting only the distinct ones).

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

Adding to 10011100110000 its reverse (1100111001), we get a palindrome (10012200221001).

It can be divided in two parts, 100111001 and 10000, that added together give a palindrome (100121001).

The spelling of 10011100110000 in words is "ten trillion, eleven billion, one hundred million, one hundred ten thousand".