221100202022112 has 144 divisors (see below), whose sum is σ = 720039154004352. Its totient is φ = 63042827178240.

The previous prime is 221100202022107. The next prime is 221100202022179. The reversal of 221100202022112 is 211220202001122.

It is a happy number.

221100202022112 is a `hidden beast` number, since 221 + 10 + 0 + 20 + 202 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 110693158 + ... + 112672869.

It is an arithmetic number, because the mean of its divisors is an integer number (5000271902808).

Almost surely, 2^{221100202022112} is an apocalyptic number.

It is an amenable number.

221100202022112 is an abundant number, since it is smaller than the sum of its proper divisors (498938951982240).

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

221100202022112 is a wasteful number, since it uses less digits than its factorization.

221100202022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223366541 (or 223366530 counting only the distinct ones).

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

Adding to 221100202022112 its reverse (211220202001122), we get a palindrome (432320404023234).

The spelling of 221100202022112 in words is "two hundred twenty-one trillion, one hundred billion, two hundred two million, twenty-two thousand, one hundred twelve".