220121102022120 has 384 divisors, whose sum is σ = 785448229980960. Its totient is φ = 53128268144640.

The previous prime is 220121102022119. The next prime is 220121102022221. The reversal of 220121102022120 is 21220201121022.

It is a happy number.

220121102022120 is a `hidden beast` number, since 220 + 1 + 21 + 10 + 202 + 212 + 0 = 666.

220121102022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 4973283567396 + 215147818454724 = 2230086^2 + 14667918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220121102022093 and 220121102022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399813430 + ... + 400363610.

Almost surely, 2^{220121102022120} is an apocalyptic number.

220121102022120 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 220121102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392724114990480).

220121102022120 is an abundant number, since it is smaller than the sum of its proper divisors (565327127958840).

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

220121102022120 is a wasteful number, since it uses less digits than its factorization.

220121102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551877 (or 551870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220121102022120 its reverse (21220201121022), we get a palindrome (241341303143142).

The spelling of 220121102022120 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred two million, twenty-two thousand, one hundred twenty".