100210220200201 has 8 divisors (see below), whose sum is σ = 100587171028680. Its totient is φ = 99833302128768.

The previous prime is 100210220200177. The next prime is 100210220200213. The reversal of 100210220200201 is 102002022012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8118190201 + 100202102010000 = 90101^2 + 10010100^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210220200201 - 2⁹ = 100210220199689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210220600201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050726 + ... + 14304751.

It is an arithmetic number, because the mean of its divisors is an integer number (12573396378585).

Almost surely, 2^{100210220200201} is an apocalyptic number.

It is an amenable number.

100210220200201 is a deficient number, since it is larger than the sum of its proper divisors (376950828479).

100210220200201 is a wasteful number, since it uses less digits than its factorization.

100210220200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16378523.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100210220200201 its reverse (102002022012001), we get a palindrome (202212242212202).

The spelling of 100210220200201 in words is "one hundred trillion, two hundred ten billion, two hundred twenty million, two hundred thousand, two hundred one".