200101000 has 64 divisors (see below), whose sum is σ = 510831360. Its totient is φ = 72760000.

The previous prime is 200100997. The next prime is 200101003. The reversal of 200101000 is 101002.

200101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200100997) and next prime (200101003).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (200101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 20095.

It is an arithmetic number, because the mean of its divisors is an integer number (7981740).

Almost surely, 2^200101000 is an apocalyptic number.

200101000 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 200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255415680).

200101000 is an abundant number, since it is smaller than the sum of its proper divisors (310730360).

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

200101000 is a wasteful number, since it uses less digits than its factorization.

200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18223 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 200101000 is about 14145.7060622650. The cubic root of 200101000 is about 584.9019730067.

Adding to 200101000 its reverse (101002), we get a palindrome (200202002).

The spelling of 200101000 in words is "two hundred million, one hundred one thousand".