100111101110000 has 200 divisors, whose sum is σ = 252978040538784. Its totient is φ = 38294164480000.

The previous prime is 100111101109993. The next prime is 100111101110089. The reversal of 100111101110000 is 11101111001.

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 100111101110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 997459820 + ... + 997560180.

Almost surely, 2^{100111101110000} is an apocalyptic number.

100111101110000 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 100111101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489020269392).

100111101110000 is an abundant number, since it is smaller than the sum of its proper divisors (152866939428784).

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

100111101110000 is a wasteful number, since it uses less digits than its factorization.

100111101110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104749 (or 104728 counting only the distinct ones).

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

Adding to 100111101110000 its reverse (11101111001), we get a palindrome (100122202221001).

The spelling of 100111101110000 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand".