201122212104 has 192 divisors, whose sum is σ = 603192096000. Its totient is φ = 60031656960.

The previous prime is 201122212079. The next prime is 201122212111. The reversal of 201122212104 is 401212221102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18955969 + ... + 18966575.

It is an arithmetic number, because the mean of its divisors is an integer number (3141625500).

Almost surely, 2^201122212104 is an apocalyptic number.

201122212104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301596048000).

201122212104 is an abundant number, since it is smaller than the sum of its proper divisors (402069883896).

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

201122212104 is a wasteful number, since it uses less digits than its factorization.

201122212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10981 counting only the distinct ones).

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

Adding to 201122212104 its reverse (401212221102), we get a palindrome (602334433206).

The spelling of 201122212104 in words is "two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred four".