110121211012120 has 256 divisors, whose sum is σ = 314056522321920. Its totient is φ = 33753566246400.

The previous prime is 110121211012091. The next prime is 110121211012139. The reversal of 110121211012120 is 21210112121011.

It is a super-2 number, since 2×110121211012120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121211012094 and 110121211012103.

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, 120678775 + ... + 121587865.

It is an arithmetic number, because the mean of its divisors is an integer number (1226783290320).

Almost surely, 2^{110121211012120} is an apocalyptic number.

110121211012120 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 110121211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157028261160960).

110121211012120 is an abundant number, since it is smaller than the sum of its proper divisors (203935311309800).

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

110121211012120 is a wasteful number, since it uses less digits than its factorization.

110121211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909774 (or 909770 counting only the distinct ones).

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

Adding to 110121211012120 its reverse (21210112121011), we get a palindrome (131331323133131).

The spelling of 110121211012120 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred eleven million, twelve thousand, one hundred twenty".