10002100201 has 4 divisors (see below), whose sum is σ = 10002328900. Its totient is φ = 10001871504.

The previous prime is 10002100187. The next prime is 10002100219. The reversal of 10002100201 is 10200120001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2253875625 + 7748224576 = 47475^2 + 88024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002100201 - 2⁹ = 10002099689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002100231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25986 + ... + 143803.

It is an arithmetic number, because the mean of its divisors is an integer number (2500582225).

Almost surely, 2^10002100201 is an apocalyptic number.

It is an amenable number.

10002100201 is a deficient number, since it is larger than the sum of its proper divisors (228699).

10002100201 is an equidigital number, since it uses as much as digits as its factorization.

10002100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228698.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002100201 its reverse (10200120001), we get a palindrome (20202220202).

The spelling of 10002100201 in words is "ten billion, two million, one hundred thousand, two hundred one".