110210122120 has 256 divisors, whose sum is σ = 314412917760. Its totient is φ = 33876344832.

The previous prime is 110210122067. The next prime is 110210122157. The reversal of 110210122120 is 21221012011.

It is a self number, because there is not a number n which added to its sum of digits gives 110210122120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28134402 + ... + 28138318.

It is an arithmetic number, because the mean of its divisors is an integer number (1228175460).

Almost surely, 2^110210122120 is an apocalyptic number.

110210122120 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 110210122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157206458880).

110210122120 is an abundant number, since it is smaller than the sum of its proper divisors (204202795640).

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

110210122120 is a wasteful number, since it uses less digits than its factorization.

110210122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110210122120 its reverse (21221012011), we get a palindrome (131431134131).

The spelling of 110210122120 in words is "one hundred ten billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".