221002202201120 has 192 divisors, whose sum is σ = 531053188122240. Its totient is φ = 86893817167872.

The previous prime is 221002202201117. The next prime is 221002202201201. The reversal of 221002202201120 is 21102202200122.

It is a happy number.

It is a super-3 number, since 3×221002202201120³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18179002082 + ... + 18179014238.

It is an arithmetic number, because the mean of its divisors is an integer number (2765902021470).

Almost surely, 2^{221002202201120} is an apocalyptic number.

221002202201120 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 221002202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265526594061120).

221002202201120 is an abundant number, since it is smaller than the sum of its proper divisors (310050985921120).

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

221002202201120 is a wasteful number, since it uses less digits than its factorization.

221002202201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221002202201120 its reverse (21102202200122), we get a palindrome (242104404401242).

The spelling of 221002202201120 in words is "two hundred twenty-one trillion, two billion, two hundred two million, two hundred one thousand, one hundred twenty".