2221101221200 has 120 divisors (see below), whose sum is σ = 5392651707576. Its totient is φ = 879052800000.

The previous prime is 2221101221069. The next prime is 2221101221231. The reversal of 2221101221200 is 21221011222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 778248609856 + 1442852611344 = 882184^2 + 1201188^2 .

It is a super-2 number, since 2×2221101221200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62723500 + ... + 62758900.

Almost surely, 2^{2221101221200} is an apocalyptic number.

2221101221200 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 2221101221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696325853788).

2221101221200 is an abundant number, since it is smaller than the sum of its proper divisors (3171550486376).

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

2221101221200 is a wasteful number, since it uses less digits than its factorization.

2221101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37073 (or 37062 counting only the distinct ones).

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

Adding to 2221101221200 its reverse (21221011222), we get a palindrome (2242322232422).

The spelling of 2221101221200 in words is "two trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, two hundred".