2201121108113 has 2 divisors, whose sum is σ = 2201121108114. Its totient is φ = 2201121108112.

The previous prime is 2201121108083. The next prime is 2201121108127. The reversal of 2201121108113 is 3118011211022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2197797355009 + 3323753104 = 1482497^2 + 57652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201121108113 - 2¹⁰ = 2201121107089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201121908113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100560554056 + 1100560554057.

It is an arithmetic number, because the mean of its divisors is an integer number (1100560554057).

Almost surely, 2^{2201121108113} is an apocalyptic number.

It is an amenable number.

2201121108113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201121108113 is an equidigital number, since it uses as much as digits as its factorization.

2201121108113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 2201121108113 its reverse (3118011211022), we get a palindrome (5319132319135).

The spelling of 2201121108113 in words is "two trillion, two hundred one billion, one hundred twenty-one million, one hundred eight thousand, one hundred thirteen".