100111120120110 has 512 divisors, whose sum is σ = 286259978188800. Its totient is φ = 22134767616000.

The previous prime is 100111120120097. The next prime is 100111120120159. The reversal of 100111120120110 is 11021021111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13003129041 + ... + 13003136739.

It is an arithmetic number, because the mean of its divisors is an integer number (559101519900).

Almost surely, 2^{100111120120110} is an apocalyptic number.

100111120120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111120120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129989094400).

100111120120110 is an abundant number, since it is smaller than the sum of its proper divisors (186148858068690).

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

100111120120110 is a wasteful number, since it uses less digits than its factorization.

100111120120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111120120110 its reverse (11021021111001), we get a palindrome (111132141231111).

The spelling of 100111120120110 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty thousand, one hundred ten".