110102122121120 has 24 divisors (see below), whose sum is σ = 260116263511524. Its totient is φ = 44040848848384.

The previous prime is 110102122121099. The next prime is 110102122121177. The reversal of 110102122121120 is 21121221201011.

It can be written as a sum of positive squares in 2 ways, for example, as 94349129369104 + 15752992752016 = 9713348^2 + 3969004^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 344069131469 + ... + 344069131788.

Almost surely, 2^{110102122121120} is an apocalyptic number.

110102122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102122121120 is an abundant number, since it is smaller than the sum of its proper divisors (150014141390404).

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

110102122121120 is an equidigital number, since it uses as much as digits as its factorization.

110102122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688138263272 (or 688138263264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110102122121120 its reverse (21121221201011), we get a palindrome (131223343322131).

The spelling of 110102122121120 in words is "one hundred ten trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".