2201211002101 has 2 divisors, whose sum is σ = 2201211002102. Its totient is φ = 2201211002100.

The previous prime is 2201211002087. The next prime is 2201211002161. The reversal of 2201211002101 is 1012001121022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1513389579601 + 687821422500 = 1230199^2 + 829350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201211002101 - 2²⁹ = 2200674131189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201211002161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100605501050 + 1100605501051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100605501051).

Almost surely, 2^{2201211002101} is an apocalyptic number.

It is an amenable number.

2201211002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201211002101 is an equidigital number, since it uses as much as digits as its factorization.

2201211002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2201211002101 its reverse (1012001121022), we get a palindrome (3213212123123).

The spelling of 2201211002101 in words is "two trillion, two hundred one billion, two hundred eleven million, two thousand, one hundred one".