221212220201000 has 512 divisors, whose sum is σ = 624976802611200. Its totient is φ = 71684398080000.

The previous prime is 221212220200967. The next prime is 221212220201041. The reversal of 221212220201000 is 102022212122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221212220201000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4885298360 + ... + 4885343640.

It is an arithmetic number, because the mean of its divisors is an integer number (1220657817600).

Almost surely, 2^{221212220201000} is an apocalyptic number.

221212220201000 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 221212220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312488401305600).

221212220201000 is an abundant number, since it is smaller than the sum of its proper divisors (403764582410200).

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

221212220201000 is a wasteful number, since it uses less digits than its factorization.

221212220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45866 (or 45852 counting only the distinct ones).

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

Adding to 221212220201000 its reverse (102022212122), we get a palindrome (221314242413122).

The spelling of 221212220201000 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred twenty million, two hundred one thousand".