200102212000 has 96 divisors (see below), whose sum is σ = 491799291984. Its totient is φ = 80016768000.

The previous prime is 200102211997. The next prime is 200102212003. The reversal of 200102212000 is 212201002.

It is an interprime number because it is at equal distance from previous prime (200102211997) and next prime (200102212003).

It can be written as a sum of positive squares in 8 ways, for example, as 1610577424 + 198491634576 = 40132^2 + 445524^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200102212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19726930 + ... + 19737070.

Almost surely, 2^200102212000 is an apocalyptic number.

200102212000 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 200102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245899645992).

200102212000 is an abundant number, since it is smaller than the sum of its proper divisors (291697079984).

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

200102212000 is a wasteful number, since it uses less digits than its factorization.

200102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15099 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200102212000 its reverse (212201002), we get a palindrome (200314413002).

The spelling of 200102212000 in words is "two hundred billion, one hundred two million, two hundred twelve thousand".