221102220011200 has 672 divisors, whose sum is σ = 612080003176128. Its totient is φ = 77934919680000.

The previous prime is 221102220011191. The next prime is 221102220011243. The reversal of 221102220011200 is 2110022201122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17777771382 + ... + 17777783818.

Almost surely, 2^{221102220011200} is an apocalyptic number.

221102220011200 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 221102220011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306040001588064).

221102220011200 is an abundant number, since it is smaller than the sum of its proper divisors (390977783164928).

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

221102220011200 is a wasteful number, since it uses less digits than its factorization.

221102220011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12781 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221102220011200 its reverse (2110022201122), we get a palindrome (223212242212322).

It can be divided in two parts, 2211022 and 20011200, that added together give a palindrome (22222222).

The spelling of 221102220011200 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty million, eleven thousand, two hundred".