101000000002201 has 2 divisors, whose sum is σ = 101000000002202. Its totient is φ = 101000000002200.

The previous prime is 101000000002171. The next prime is 101000000002271. The reversal of 101000000002201 is 102200000000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95476447152025 + 5523552850176 = 9771205^2 + 2350224^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000000002201 - 2⁹ = 101000000001689 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000000002271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000001100 + 50500000001101.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000001101).

Almost surely, 2^{101000000002201} is an apocalyptic number.

It is an amenable number.

101000000002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000000002201 is an equidigital number, since it uses as much as digits as its factorization.

101000000002201 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 101000000002201 its reverse (102200000000101), we get a palindrome (203200000002302).

The spelling of 101000000002201 in words is "one hundred one trillion, two thousand, two hundred one".