200201012100 has 144 divisors (see below), whose sum is σ = 643759560640. Its totient is φ = 53374464000.

The previous prime is 200201012083. The next prime is 200201012107. The reversal of 200201012100 is 1210102002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200201012107) 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 47 ways as a sum of consecutive naturals, for example, 20847300 + ... + 20856900.

Almost surely, 2^200201012100 is an apocalyptic number.

200201012100 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 200201012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321879780320).

200201012100 is an abundant number, since it is smaller than the sum of its proper divisors (443558548540).

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

200201012100 is a wasteful number, since it uses less digits than its factorization.

200201012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17347 (or 17334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200201012100 its reverse (1210102002), we get a palindrome (201411114102).

The spelling of 200201012100 in words is "two hundred billion, two hundred one million, twelve thousand, one hundred".