20110121021120 has 448 divisors, whose sum is σ = 55211689846656. Its totient is φ = 6910948147200.

The previous prime is 20110121021119. The next prime is 20110121021183. The reversal of 20110121021120 is 2112012101102.

It is a super-2 number, since 2×20110121021120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20110121021095 and 20110121021104.

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, 10192660454 + ... + 10192662426.

It is an arithmetic number, because the mean of its divisors is an integer number (123240379122).

Almost surely, 2^{20110121021120} is an apocalyptic number.

20110121021120 is a gapful number since it is divisible by the number (20) 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 20110121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605844923328).

20110121021120 is an abundant number, since it is smaller than the sum of its proper divisors (35101568825536).

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

20110121021120 is a wasteful number, since it uses less digits than its factorization.

20110121021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20110121021120 its reverse (2112012101102), we get a palindrome (22222133122222).

The spelling of 20110121021120 in words is "twenty trillion, one hundred ten billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".