221010000000000 has 968 divisors, whose sum is σ = 755630843899680. Its totient is φ = 57408000000000.

The previous prime is 221009999999941. The next prime is 221010000000007. The reversal of 221010000000000 is 10122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1589999999931 + ... + 1590000000069.

Almost surely, 2^{221010000000000} is an apocalyptic number.

221010000000000 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 221010000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377815421949840).

221010000000000 is an abundant number, since it is smaller than the sum of its proper divisors (534620843899680).

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

221010000000000 is an frugal number, since it uses more digits than its factorization.

221010000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 221010000000000 its reverse (10122), we get a palindrome (221010000010122).

The spelling of 221010000000000 in words is "two hundred twenty-one trillion, ten billion", and thus it is an aban number.