221050022000 has 80 divisors (see below), whose sum is σ = 534631406400. Its totient is φ = 88398099200.

The previous prime is 221050021981. The next prime is 221050022021. The reversal of 221050022000 is 220050122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221050022000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 9826766 + ... + 9849234.

It is an arithmetic number, because the mean of its divisors is an integer number (6682892580).

Almost surely, 2^221050022000 is an apocalyptic number.

221050022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221050022000 is an abundant number, since it is smaller than the sum of its proper divisors (313581384400).

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

221050022000 is a wasteful number, since it uses less digits than its factorization.

221050022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27411 (or 27395 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 221050022000 its reverse (220050122), we get a palindrome (221270072122).

The spelling of 221050022000 in words is "two hundred twenty-one billion, fifty million, twenty-two thousand".