2201222100000 has 864 divisors, whose sum is σ = 9165889720512. Its totient is φ = 457363200000.

The previous prime is 2201222099987. The next prime is 2201222100043. The reversal of 2201222100000 is 12221022.

It is a super-3 number, since 3×2201222100000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161693194 + ... + 161706806.

It is an arithmetic number, because the mean of its divisors is an integer number (10608668658).

Almost surely, 2^{2201222100000} is an apocalyptic number.

2201222100000 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 2201222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582944860256).

2201222100000 is an abundant number, since it is smaller than the sum of its proper divisors (6964667620512).

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

2201222100000 is a wasteful number, since it uses less digits than its factorization.

2201222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2201222100000 its reverse (12221022), we get a palindrome (2201234321022).

The spelling of 2201222100000 in words is "two trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand".