110120010110100 has 54 divisors (see below), whose sum is σ = 345165053914590. Its totient is φ = 29365336029120.

The previous prime is 110120010110059. The next prime is 110120010110107. The reversal of 110120010110100 is 1011010021011.

It can be written as a sum of positive squares in 3 ways, for example, as 192585811716 + 109927424298384 = 438846^2 + 10484628^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120010110107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 61177782495 + ... + 61177784294.

Almost surely, 2^{110120010110100} is an apocalyptic number.

110120010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120010110100 is an abundant number, since it is smaller than the sum of its proper divisors (235045043804490).

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

110120010110100 is a wasteful number, since it uses less digits than its factorization.

110120010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122355566809 (or 122355566799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110120010110100 its reverse (1011010021011), we get a palindrome (111131020131111).

The spelling of 110120010110100 in words is "one hundred ten trillion, one hundred twenty billion, ten million, one hundred ten thousand, one hundred".