221102010221000 has 128 divisors (see below), whose sum is σ = 536051772547200. Its totient is φ = 85258312876800.

The previous prime is 221102010220991. The next prime is 221102010221017. The reversal of 221102010221000 is 122010201122.

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, 12718379 + ... + 24575621.

It is an arithmetic number, because the mean of its divisors is an integer number (4187904473025).

Almost surely, 2^{221102010221000} is an apocalyptic number.

221102010221000 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 221102010221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268025886273600).

221102010221000 is an abundant number, since it is smaller than the sum of its proper divisors (314949762326200).

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

221102010221000 is a wasteful number, since it uses less digits than its factorization.

221102010221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857936 (or 11857922 counting only the distinct ones).

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

Adding to 221102010221000 its reverse (122010201122), we get a palindrome (221224020422122).

The spelling of 221102010221000 in words is "two hundred twenty-one trillion, one hundred two billion, ten million, two hundred twenty-one thousand".