10111110110000 has 200 divisors, whose sum is σ = 25810764099120. Its totient is φ = 3825283968000.

The previous prime is 10111110109949. The next prime is 10111110110021. The reversal of 10111110110000 is 1101111101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10111110110000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116426594 + ... + 116513406.

Almost surely, 2^{10111110110000} is an apocalyptic number.

10111110110000 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 10111110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905382049560).

10111110110000 is an abundant number, since it is smaller than the sum of its proper divisors (15699653989120).

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

10111110110000 is an equidigital number, since it uses as much as digits as its factorization.

10111110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87473 (or 87452 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10111110110000 its reverse (1101111101), we get a palindrome (10112211221101).

It can be divided in two parts, 101111101 and 10000, that added together give a palindrome (101121101).

The spelling of 10111110110000 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand".