110122120100 has 36 divisors (see below), whose sum is σ = 238986961668. Its totient is φ = 44044800000.

The previous prime is 110122120079. The next prime is 110122120109. The reversal of 110122120100 is 1021221011.

It can be written as a sum of positive squares in 6 ways, for example, as 30322649956 + 79799470144 = 174134^2 + 282488^2 .

It is not an unprimeable number, because it can be changed into a prime (110122120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195700 + ... + 1284500.

It is an arithmetic number, because the mean of its divisors is an integer number (6638526713).

Almost surely, 2^110122120100 is an apocalyptic number.

110122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122120100 is an abundant number, since it is smaller than the sum of its proper divisors (128864841568).

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

110122120100 is a wasteful number, since it uses less digits than its factorization.

110122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101216 (or 101209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110122120100 its reverse (1021221011), we get a palindrome (111143341111).

The spelling of 110122120100 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".