110121122011120 has 160 divisors (see below), whose sum is σ = 286072201350144. Its totient is φ = 39075909196800.

The previous prime is 110121122011111. The next prime is 110121122011123. The reversal of 110121122011120 is 21110221121011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110121122011094 and 110121122011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121122011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38776809 + ... + 41519671.

Almost surely, 2^{110121122011120} is an apocalyptic number.

110121122011120 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 110121122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143036100675072).

110121122011120 is an abundant number, since it is smaller than the sum of its proper divisors (175951079339024).

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

110121122011120 is a wasteful number, since it uses less digits than its factorization.

110121122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743991 (or 2743985 counting only the distinct ones).

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

Adding to 110121122011120 its reverse (21110221121011), we get a palindrome (131231343132131).

The spelling of 110121122011120 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, one hundred twenty".