110210120100120 has 256 divisors, whose sum is σ = 349515918766080. Its totient is φ = 27757387929600.

The previous prime is 110210120100107. The next prime is 110210120100133. The reversal of 110210120100120 is 21001021012011.

It is an interprime number because it is at equal distance from previous prime (110210120100107) and next prime (110210120100133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110210120100096 and 110210120100105.

It is a congruent number.

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, 197592030 + ... + 198149010.

It is an arithmetic number, because the mean of its divisors is an integer number (1365296557680).

Almost surely, 2^{110210120100120} is an apocalyptic number.

110210120100120 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 110210120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174757959383040).

110210120100120 is an abundant number, since it is smaller than the sum of its proper divisors (239305798665960).

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

110210120100120 is a wasteful number, since it uses less digits than its factorization.

110210120100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558306 (or 558302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110210120100120 its reverse (21001021012011), we get a palindrome (131211141112131).

The spelling of 110210120100120 in words is "one hundred ten trillion, two hundred ten billion, one hundred twenty million, one hundred thousand, one hundred twenty".