221002120122120 has 384 divisors, whose sum is σ = 729422946252000. Its totient is φ = 58027025203200.

The previous prime is 221002120122029. The next prime is 221002120122163. The reversal of 221002120122120 is 21221021200122.

It is a happy number.

221002120122120 is a `hidden beast` number, since 2 + 210 + 0 + 212 + 0 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2320734276 + 220999799387844 = 48174^2 + 14866062^2 .

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 = 221002120122093 and 221002120122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716675206 + ... + 2716756554.

Almost surely, 2^{221002120122120} is an apocalyptic number.

221002120122120 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 221002120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364711473126000).

221002120122120 is an abundant number, since it is smaller than the sum of its proper divisors (508420826129880).

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

221002120122120 is a wasteful number, since it uses less digits than its factorization.

221002120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81961 (or 81954 counting only the distinct ones).

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

Adding to 221002120122120 its reverse (21221021200122), we get a palindrome (242223141322242).

The spelling of 221002120122120 in words is "two hundred twenty-one trillion, two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".