2211021012200 has 768 divisors, whose sum is σ = 7078421952000. Its totient is φ = 632940134400.

The previous prime is 2211021012199. The next prime is 2211021012209. The reversal of 2211021012200 is 22101201122.

It is a super-2 number, since 2×2211021012200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2211021012209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2521118162 + ... + 2521119038.

It is an arithmetic number, because the mean of its divisors is an integer number (9216695250).

Almost surely, 2^{2211021012200} is an apocalyptic number.

2211021012200 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 2211021012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539210976000).

2211021012200 is an abundant number, since it is smaller than the sum of its proper divisors (4867400939800).

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

2211021012200 is a wasteful number, since it uses less digits than its factorization.

2211021012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2211021012200 its reverse (22101201122), we get a palindrome (2233122213322).

The spelling of 2211021012200 in words is "two trillion, two hundred eleven billion, twenty-one million, twelve thousand, two hundred".