221122220211100 has 72 divisors (see below), whose sum is σ = 517094540425008. Its totient is φ = 81589998374400.

The previous prime is 221122220211097. The next prime is 221122220211143. The reversal of 221122220211100 is 1112022221122.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55500094 + ... + 59350693.

It is an arithmetic number, because the mean of its divisors is an integer number (7181868617014).

Almost surely, 2^{221122220211100} is an apocalyptic number.

221122220211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122220211100 is an abundant number, since it is smaller than the sum of its proper divisors (295972320213908).

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

221122220211100 is a wasteful number, since it uses less digits than its factorization.

221122220211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114852295 (or 114852288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122220211100 its reverse (1112022221122), we get a palindrome (222234242432222).

The spelling of 221122220211100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, one hundred".