110010220122120 has 256 divisors, whose sum is σ = 343750350528000. Its totient is φ = 28130479104000.

The previous prime is 110010220122109. The next prime is 110010220122137. The reversal of 110010220122120 is 21221022010011.

It is a super-2 number, since 2×110010220122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110010220122120.

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, 2569050310 + ... + 2569093130.

It is an arithmetic number, because the mean of its divisors is an integer number (1342774806750).

Almost surely, 2^{110010220122120} is an apocalyptic number.

110010220122120 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 110010220122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171875175264000).

110010220122120 is an abundant number, since it is smaller than the sum of its proper divisors (233740130405880).

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

110010220122120 is a wasteful number, since it uses less digits than its factorization.

110010220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47904 (or 47900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110010220122120 its reverse (21221022010011), we get a palindrome (131231242132131).

The spelling of 110010220122120 in words is "one hundred ten trillion, ten billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".