110100101120 has 192 divisors, whose sum is σ = 272234027520. Its totient is φ = 42709811200.

The previous prime is 110100101113. The next prime is 110100101149. The reversal of 110100101120 is 21101001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110100101098 and 110100101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80188754 + ... + 80190126.

It is an arithmetic number, because the mean of its divisors is an integer number (1417885560).

Almost surely, 2^110100101120 is an apocalyptic number.

110100101120 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 110100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136117013760).

110100101120 is an abundant number, since it is smaller than the sum of its proper divisors (162133926400).

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

110100101120 is a wasteful number, since it uses less digits than its factorization.

110100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110100101120 its reverse (21101001011), we get a palindrome (131201102131).

The spelling of 110100101120 in words is "one hundred ten billion, one hundred million, one hundred one thousand, one hundred twenty".