20110121220020 has 192 divisors, whose sum is σ = 48691981578240. Its totient is φ = 6910773092352.

The previous prime is 20110121220011. The next prime is 20110121220061. The reversal of 20110121220020 is 2002212101102.

It is a junction number, because it is equal to n+sod(n) for n = 20110121219977 and 20110121220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322748189 + ... + 322810491.

It is an arithmetic number, because the mean of its divisors is an integer number (253604070720).

Almost surely, 2^{20110121220020} is an apocalyptic number.

20110121220020 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 20110121220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345990789120).

20110121220020 is an abundant number, since it is smaller than the sum of its proper divisors (28581860358220).

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

20110121220020 is a wasteful number, since it uses less digits than its factorization.

20110121220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63154 (or 63152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20110121220020 its reverse (2002212101102), we get a palindrome (22112333321122).

The spelling of 20110121220020 in words is "twenty trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty thousand, twenty".