200100001002 has 96 divisors (see below), whose sum is σ = 455822567424. Its totient is φ = 58016323200.

The previous prime is 200100000977. The next prime is 200100001009.

It is a happy number.

200100001002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (200100001009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16200193 + ... + 16212539.

It is an arithmetic number, because the mean of its divisors is an integer number (4748151744).

Almost surely, 2^200100001002 is an apocalyptic number.

200100001002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200100001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227911283712).

200100001002 is an abundant number, since it is smaller than the sum of its proper divisors (255722566422).

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

200100001002 is a wasteful number, since it uses less digits than its factorization.

200100001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 20010000 and 1002, that added together give a palindrome (20011002).

The spelling of 200100001002 in words is "two hundred billion, one hundred million, one thousand, two".