221112202220100 has 108 divisors (see below), whose sum is σ = 694845570253380. Its totient is φ = 58811677344000.

The previous prime is 221112202220093. The next prime is 221112202220113. The reversal of 221112202220100 is 1022202211122.

It is a happy number.

221112202220100 is a `hidden beast` number, since 2 + 211 + 1 + 220 + 2 + 220 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 221112201104964 = 1056^2 + 14869842^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 315434251 + ... + 316134450.

Almost surely, 2^{221112202220100} is an apocalyptic number.

221112202220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112202220100 is an abundant number, since it is smaller than the sum of its proper divisors (473733368033280).

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

221112202220100 is a wasteful number, since it uses less digits than its factorization.

221112202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631569110 (or 631569100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221112202220100 its reverse (1022202211122), we get a palindrome (222134404431222).

The spelling of 221112202220100 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred two million, two hundred twenty thousand, one hundred".