110110110100100 has 144 divisors (see below), whose sum is σ = 260946434359296. Its totient is φ = 39996159120000.

The previous prime is 110110110099967. The next prime is 110110110100129. The reversal of 110110110100100 is 1001011011011.

It is a super-2 number, since 2×110110110100100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8365116119 + ... + 8365129281.

It is an arithmetic number, because the mean of its divisors is an integer number (1812128016384).

Almost surely, 2^{110110110100100} is an apocalyptic number.

110110110100100 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 110110110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130473217179648).

110110110100100 is an abundant number, since it is smaller than the sum of its proper divisors (150836324259196).

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

110110110100100 is a wasteful number, since it uses less digits than its factorization.

110110110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 20939 counting only the distinct ones).

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

Adding to 110110110100100 its reverse (1001011011011), we get a palindrome (111111121111111).

The spelling of 110110110100100 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred".