2121310101217 has 2 divisors, whose sum is σ = 2121310101218. Its totient is φ = 2121310101216.

The previous prime is 2121310101187. The next prime is 2121310101247. The reversal of 2121310101217 is 7121010131212.

It is a balanced prime because it is at equal distance from previous prime (2121310101187) and next prime (2121310101247).

It can be written as a sum of positive squares in only one way, i.e., 2004124380241 + 117185720976 = 1415671^2 + 342324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121310101217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121310101247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060655050608 + 1060655050609.

It is an arithmetic number, because the mean of its divisors is an integer number (1060655050609).

Almost surely, 2^{2121310101217} is an apocalyptic number.

It is an amenable number.

2121310101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121310101217 is an equidigital number, since it uses as much as digits as its factorization.

2121310101217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 2121310101217 its reverse (7121010131212), we get a palindrome (9242320232429).

The spelling of 2121310101217 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, one hundred one thousand, two hundred seventeen".