110122102201120 has 96 divisors (see below), whose sum is σ = 260779131220608. Its totient is φ = 43944643780608.

The previous prime is 110122102201117. The next prime is 110122102201129. The reversal of 110122102201120 is 21102201221011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110122102201094 and 110122102201103.

It is not an unprimeable number, because it can be changed into a prime (110122102201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337048077 + ... + 337374643.

It is an arithmetic number, because the mean of its divisors is an integer number (2716449283548).

Almost surely, 2^{110122102201120} is an apocalyptic number.

110122102201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122102201120 is an abundant number, since it is smaller than the sum of its proper divisors (150657029019488).

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

110122102201120 is a wasteful number, since it uses less digits than its factorization.

110122102201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331562 (or 331554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122102201120 its reverse (21102201221011), we get a palindrome (131224303422131).

The spelling of 110122102201120 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, two hundred one thousand, one hundred twenty".