221102211000000 has 1176 divisors, whose sum is σ = 815845970787904. Its totient is φ = 52794720000000.

The previous prime is 221102210999987. The next prime is 221102211000037. The reversal of 221102211000000 is 112201122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 221102211000000.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24320995455 + ... + 24321004545.

Almost surely, 2^{221102211000000} is an apocalyptic number.

221102211000000 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 221102211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407922985393952).

221102211000000 is an abundant number, since it is smaller than the sum of its proper divisors (594743759787904).

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

221102211000000 is an frugal number, since it uses more digits than its factorization.

221102211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221102211000000 its reverse (112201122), we get a palindrome (221102323201122).

The spelling of 221102211000000 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred eleven million", and thus it is an aban number.