201122102012022 has 128 divisors (see below), whose sum is σ = 467116438118400. Its totient is φ = 64023331185792.

The previous prime is 201122102011991. The next prime is 201122102012047. The reversal of 201122102012022 is 220210201221102.

It is a happy number.

201122102012022 is a `hidden beast` number, since 201 + 1 + 221 + 0 + 201 + 20 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201122102011986 and 201122102012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2500576504 + ... + 2500656932.

It is an arithmetic number, because the mean of its divisors is an integer number (3649347172800).

Almost surely, 2^{201122102012022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122102012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233558219059200).

201122102012022 is an abundant number, since it is smaller than the sum of its proper divisors (265994336106378).

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

201122102012022 is a wasteful number, since it uses less digits than its factorization.

201122102012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83659 (or 83653 counting only the distinct ones).

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

Adding to 201122102012022 its reverse (220210201221102), we get a palindrome (421332303233124).

The spelling of 201122102012022 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, twenty-two".