100000110010080 has 768 divisors, whose sum is σ = 375211097856000. Its totient is φ = 21903489269760.

The previous prime is 100000110010061. The next prime is 100000110010081. The reversal of 100000110010080 is 80010011000001.

It is a happy number.

100000110010080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000110010081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28645117135 + ... + 28645120625.

It is an arithmetic number, because the mean of its divisors is an integer number (488556117000).

Almost surely, 2^{100000110010080} is an apocalyptic number.

100000110010080 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 100000110010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187605548928000).

100000110010080 is an abundant number, since it is smaller than the sum of its proper divisors (275210987845920).

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

100000110010080 is a wasteful number, since it uses less digits than its factorization.

100000110010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100000110010080 its reverse (80010011000001), we get a palindrome (180010121010081).

The spelling of 100000110010080 in words is "one hundred trillion, one hundred ten million, ten thousand, eighty".