221011200200000 has 336 divisors, whose sum is σ = 626596183277568. Its totient is φ = 75762086400000.

The previous prime is 221011200199973. The next prime is 221011200200003. The reversal of 221011200200000 is 2002110122.

It is a happy number.

It is a super-2 number, since 2×221011200200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011200200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11467390364 + ... + 11467409636.

It is an arithmetic number, because the mean of its divisors is an integer number (1864869593088).

Almost surely, 2^{221011200200000} is an apocalyptic number.

221011200200000 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 221011200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313298091638784).

221011200200000 is an abundant number, since it is smaller than the sum of its proper divisors (405584983077568).

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

221011200200000 is an frugal number, since it uses more digits than its factorization.

221011200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27508 (or 27478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221011200200000 its reverse (2002110122), we get a palindrome (221013202310122).

The spelling of 221011200200000 in words is "two hundred twenty-one trillion, eleven billion, two hundred million, two hundred thousand".