221122121010120 has 320 divisors, whose sum is σ = 810801697305600. Its totient is φ = 53604001566720.

The previous prime is 221122121010047. The next prime is 221122121010151. The reversal of 221122121010120 is 21010121221122.

221122121010120 is a `hidden beast` number, since 2 + 211 + 221 + 210 + 1 + 0 + 1 + 20 = 666.

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 = 221122121010093 and 221122121010102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2797593561 + ... + 2797672599.

It is an arithmetic number, because the mean of its divisors is an integer number (2533755304080).

Almost surely, 2^{221122121010120} is an apocalyptic number.

221122121010120 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 221122121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405400848652800).

221122121010120 is an abundant number, since it is smaller than the sum of its proper divisors (589679576295480).

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

221122121010120 is a wasteful number, since it uses less digits than its factorization.

221122121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157570 (or 157557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221122121010120 its reverse (21010121221122), we get a palindrome (242132242231242).

The spelling of 221122121010120 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, ten thousand, one hundred twenty".