221022010121120 has 192 divisors, whose sum is σ = 562885384148640. Its totient is φ = 81527714611200.

The previous prime is 221022010121117. The next prime is 221022010121123. The reversal of 221022010121120 is 21121010220122.

It is an interprime number because it is at equal distance from previous prime (221022010121117) and next prime (221022010121123).

It can be written as a sum of positive squares in 16 ways, for example, as 9019906995856 + 212002103125264 = 3003316^2 + 14560292^2 .

It is not an unprimeable number, because it can be changed into a prime (221022010121123) 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, 9353833466 + ... + 9353857094.

Almost surely, 2^{221022010121120} is an apocalyptic number.

221022010121120 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 221022010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281442692074320).

221022010121120 is an abundant number, since it is smaller than the sum of its proper divisors (341863374027520).

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

221022010121120 is a wasteful number, since it uses less digits than its factorization.

221022010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27899 (or 27891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221022010121120 its reverse (21121010220122), we get a palindrome (242143020341242).

The spelling of 221022010121120 in words is "two hundred twenty-one trillion, twenty-two billion, ten million, one hundred twenty-one thousand, one hundred twenty".