200102016 has 64 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 66309120.

The previous prime is 200102011. The next prime is 200102039. The reversal of 200102016 is 610201002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200101992 and 200102010.

It is not an unprimeable number, because it can be changed into a prime (200102011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68065 + ... + 70943.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^200102016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

200102016 is an abundant number, since it is smaller than the sum of its proper divisors (334541184).

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

200102016 is a wasteful number, since it uses less digits than its factorization.

200102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 200102016 is about 14145.7419741772. The cubic root of 200102016 is about 584.9029629391.

Adding to 200102016 its reverse (610201002), we get a palindrome (810303018).

The spelling of 200102016 in words is "two hundred million, one hundred two thousand, sixteen".