201011122000 has 640 divisors, whose sum is σ = 576773084160. Its totient is φ = 67131187200.

The previous prime is 201011121959. The next prime is 201011122009. The reversal of 201011122000 is 221110102.

201011122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011122009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1161913914 + ... + 1161914086.

It is an arithmetic number, because the mean of its divisors is an integer number (901207944).

Almost surely, 2^201011122000 is an apocalyptic number.

201011122000 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 201011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288386542080).

201011122000 is an abundant number, since it is smaller than the sum of its proper divisors (375761962160).

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

201011122000 is a wasteful number, since it uses less digits than its factorization.

201011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201011122000 its reverse (221110102), we get a palindrome (201232232102).

The spelling of 201011122000 in words is "two hundred one billion, eleven million, one hundred twenty-two thousand".