201020111122000 has 320 divisors, whose sum is σ = 494835080313600. Its totient is φ = 78965323008000.

The previous prime is 201020111121989. The next prime is 201020111122093. The reversal of 201020111122000 is 221111020102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74479476651 + ... + 74479479349.

It is an arithmetic number, because the mean of its divisors is an integer number (1546359625980).

Almost surely, 2^{201020111122000} is an apocalyptic number.

201020111122000 is a gapful number since it is divisible by the number (20) 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 201020111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247417540156800).

201020111122000 is an abundant number, since it is smaller than the sum of its proper divisors (293814969191600).

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

201020111122000 is a wasteful number, since it uses less digits than its factorization.

201020111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201020111122000 its reverse (221111020102), we get a palindrome (201241222142102).

The spelling of 201020111122000 in words is "two hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand".