221002221011000 has 256 divisors, whose sum is σ = 608579975203200. Its totient is φ = 74057438208000.

The previous prime is 221002221010997. The next prime is 221002221011023. The reversal of 221002221011000 is 110122200122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83495906 + ... + 86102094.

Almost surely, 2^{221002221011000} is an apocalyptic number.

221002221011000 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 221002221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304289987601600).

221002221011000 is an abundant number, since it is smaller than the sum of its proper divisors (387577754192200).

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

221002221011000 is a wasteful number, since it uses less digits than its factorization.

221002221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606827 (or 2606813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221002221011000 its reverse (110122200122), we get a palindrome (221112343211122).

The spelling of 221002221011000 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, eleven thousand".