201521516200 has 96 divisors (see below), whose sum is σ = 485485668000. Its totient is φ = 77701881600.

The previous prime is 201521516179. The next prime is 201521516257. The reversal of 201521516200 is 2615125102.

It is a super-2 number, since 2×201521516200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562135 + ... + 3618265.

It is an arithmetic number, because the mean of its divisors is an integer number (5057142375).

Almost surely, 2^201521516200 is an apocalyptic number.

201521516200 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 201521516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242742834000).

201521516200 is an abundant number, since it is smaller than the sum of its proper divisors (283964151800).

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

201521516200 is a wasteful number, since it uses less digits than its factorization.

201521516200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56795 (or 56786 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 201521516200 in words is "two hundred one billion, five hundred twenty-one million, five hundred sixteen thousand, two hundred".