2211221211100 has 72 divisors (see below), whose sum is σ = 5245313528448. Its totient is φ = 802429156800.

The previous prime is 2211221211047. The next prime is 2211221211119. The reversal of 2211221211100 is 11121221122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528162 + ... + 2599561.

It is an arithmetic number, because the mean of its divisors is an integer number (72851576784).

Almost surely, 2^{2211221211100} is an apocalyptic number.

2211221211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211221211100 is an abundant number, since it is smaller than the sum of its proper divisors (3034092317348).

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

2211221211100 is a wasteful number, since it uses less digits than its factorization.

2211221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128235 (or 4128228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211221211100 its reverse (11121221122), we get a palindrome (2222342432222).

It can be divided in two parts, 22112 and 21211100, that added together give a palindrome (21233212).

The spelling of 2211221211100 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".