100010002201 has 2 divisors, whose sum is σ = 100010002202. Its totient is φ = 100010002200.

The previous prime is 100010002199. The next prime is 100010002217. The reversal of 100010002201 is 102200010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89472774400 + 10537227801 = 299120^2 + 102651^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010002201 - 2¹ = 100010002199 is a prime.

Together with 100010002199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100010002271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005001100 + 50005001101.

It is an arithmetic number, because the mean of its divisors is an integer number (50005001101).

Almost surely, 2^100010002201 is an apocalyptic number.

It is an amenable number.

100010002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010002201 is an equidigital number, since it uses as much as digits as its factorization.

100010002201 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010002201 its reverse (102200010001), we get a palindrome (202210012202).

The spelling of 100010002201 in words is "one hundred billion, ten million, two thousand, two hundred one".