2121201110117 has 2 divisors, whose sum is σ = 2121201110118. Its totient is φ = 2121201110116.

The previous prime is 2121201110101. The next prime is 2121201110141. The reversal of 2121201110117 is 7110111021212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1105528176481 + 1015672933636 = 1051441^2 + 1007806^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121201110117 - 2⁴ = 2121201110101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121201113117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060600555058 + 1060600555059.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600555059).

Almost surely, 2^{2121201110117} is an apocalyptic number.

It is an amenable number.

2121201110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121201110117 is an equidigital number, since it uses as much as digits as its factorization.

2121201110117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 2121201110117 its reverse (7110111021212), we get a palindrome (9231312131329).

The spelling of 2121201110117 in words is "two trillion, one hundred twenty-one billion, two hundred one million, one hundred ten thousand, one hundred seventeen".