10111110100000 has 576 divisors, whose sum is σ = 30757781376000. Its totient is φ = 3185925120000.

The previous prime is 10111110099991. The next prime is 10111110100027. The reversal of 10111110100000 is 101111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2174897676 + ... + 2174902324.

It is an arithmetic number, because the mean of its divisors is an integer number (53398926000).

Almost surely, 2^{10111110100000} is an apocalyptic number.

10111110100000 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 10111110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378890688000).

10111110100000 is an abundant number, since it is smaller than the sum of its proper divisors (20646671276000).

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

10111110100000 is an equidigital number, since it uses as much as digits as its factorization.

10111110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10111110100000 its reverse (101111101), we get a palindrome (10111211211101).

10111110100000 divided by its reverse (101111101) gives a 5-th power (100000 = 10⁵).

The spelling of 10111110100000 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred thousand".