201522101200 has 240 divisors, whose sum is σ = 567689915520. Its totient is φ = 67304448000.

The previous prime is 201522101191. The next prime is 201522101203. The reversal of 201522101200 is 2101225102.

It is a happy number.

It is a super-2 number, since 2×201522101200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201522101203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 125245996 + ... + 125247604.

It is an arithmetic number, because the mean of its divisors is an integer number (2365374648).

Almost surely, 2^201522101200 is an apocalyptic number.

201522101200 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 201522101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283844957760).

201522101200 is an abundant number, since it is smaller than the sum of its proper divisors (366167814320).

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

201522101200 is a wasteful number, since it uses less digits than its factorization.

201522101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 201522101200 its reverse (2101225102), we get a palindrome (203623326302).

The spelling of 201522101200 in words is "two hundred one billion, five hundred twenty-two million, one hundred one thousand, two hundred".