200001221001 has 24 divisors (see below), whose sum is σ = 300788222280. Its totient is φ = 127949587200.

The previous prime is 200001220973. The next prime is 200001221023. The reversal of 200001221001 is 100122100002.

It can be written as a sum of positive squares in 4 ways, for example, as 8637843600 + 191363377401 = 92940^2 + 437451^2 .

It is not a de Polignac number, because 200001221001 - 2¹⁷ = 200001089929 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200001221071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4420186 + ... + 4465203.

It is an arithmetic number, because the mean of its divisors is an integer number (12532842595).

Almost surely, 2^200001221001 is an apocalyptic number.

It is an amenable number.

200001221001 is a deficient number, since it is larger than the sum of its proper divisors (100787001279).

200001221001 is a wasteful number, since it uses less digits than its factorization.

200001221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885497 (or 8885494 counting only the distinct ones).

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

Adding to 200001221001 its reverse (100122100002), we get a palindrome (300123321003).

The spelling of 200001221001 in words is "two hundred billion, one million, two hundred twenty-one thousand, one".