100110110100000 has 1152 divisors, whose sum is σ = 441017637064704. Its totient is φ = 19201881600000.

The previous prime is 100110110099941. The next prime is 100110110100043. The reversal of 100110110100000 is 1011011001.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300133317 + ... + 300466683.

It is an arithmetic number, because the mean of its divisors is an integer number (382827809952).

Almost surely, 2^{100110110100000} is an apocalyptic number.

100110110100000 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 100110110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220508818532352).

100110110100000 is an abundant number, since it is smaller than the sum of its proper divisors (340907526964704).

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

100110110100000 is a wasteful number, since it uses less digits than its factorization.

100110110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333436 (or 333408 counting only the distinct ones).

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

Adding to 100110110100000 its reverse (1011011001), we get a palindrome (100111121111001).

The spelling of 100110110100000 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred thousand".