2211201122100 has 36 divisors (see below), whose sum is σ = 6397741914144. Its totient is φ = 589653632480.

The previous prime is 2211201122071. The next prime is 2211201122101. The reversal of 2211201122100 is 12211021122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2211201122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211201122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3685334904 + ... + 3685335503.

Almost surely, 2^{2211201122100} is an apocalyptic number.

2211201122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211201122100 is an abundant number, since it is smaller than the sum of its proper divisors (4186540792044).

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

2211201122100 is a wasteful number, since it uses less digits than its factorization.

2211201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370670424 (or 7370670417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2211201122100 its reverse (12211021122), we get a palindrome (2223412143222).

The spelling of 2211201122100 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred".