221202002221000 has 64 divisors (see below), whose sum is σ = 535461398550000. Its totient is φ = 85429738777600.

The previous prime is 221202002220973. The next prime is 221202002221049. The reversal of 221202002221000 is 122200202122.

It can be written as a sum of positive squares in 8 ways, for example, as 59311038265956 + 161890963955044 = 7701366^2 + 12723638^2 .

It is a super-4 number, since 4×221202002221000⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3813798625 + ... + 3813856624.

Almost surely, 2^{221202002221000} is an apocalyptic number.

221202002221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202002221000 is an abundant number, since it is smaller than the sum of its proper divisors (314259396329000).

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

221202002221000 is a wasteful number, since it uses less digits than its factorization.

221202002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627655299 (or 7627655285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221202002221000 its reverse (122200202122), we get a palindrome (221324202423122).

The spelling of 221202002221000 in words is "two hundred twenty-one trillion, two hundred two billion, two million, two hundred twenty-one thousand".