221122100 has 36 divisors (see below), whose sum is σ = 496387500. Its totient is φ = 85397760.

The previous prime is 221122091. The next prime is 221122103. The reversal of 221122100 is 1221122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1430416 + 219691684 = 1196^2 + 14822^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35225 + ... + 41024.

Almost surely, 2^221122100 is an apocalyptic number.

221122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122100 is an abundant number, since it is smaller than the sum of its proper divisors (275265400).

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

221122100 is a wasteful number, since it uses less digits than its factorization.

221122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76292 (or 76285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221122100 is about 14870.1748476607. The cubic root of 221122100 is about 604.7056829503.

Adding to 221122100 its reverse (1221122), we get a palindrome (222343222).

The spelling of 221122100 in words is "two hundred twenty-one million, one hundred twenty-two thousand, one hundred".