221022121100202 has 96 divisors (see below), whose sum is σ = 508663765868544. Its totient is φ = 69237347961600.

The previous prime is 221022121100149. The next prime is 221022121100227. The reversal of 221022121100202 is 202001121220122.

It is a happy number.

221022121100202 is a `hidden beast` number, since 2 + 210 + 221 + 21 + 10 + 0 + 202 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482743 + ... + 21030389.

It is an arithmetic number, because the mean of its divisors is an integer number (5298580894464).

Almost surely, 2^{221022121100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022121100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254331882934272).

221022121100202 is an abundant number, since it is smaller than the sum of its proper divisors (287641644768342).

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

221022121100202 is a wasteful number, since it uses less digits than its factorization.

221022121100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548244 (or 20548241 counting only the distinct ones).

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

Adding to 221022121100202 its reverse (202001121220122), we get a palindrome (423023242320324).

The spelling of 221022121100202 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred two".