1102121011217 has 2 divisors, whose sum is σ = 1102121011218. Its totient is φ = 1102121011216.

The previous prime is 1102121011151. The next prime is 1102121011219. The reversal of 1102121011217 is 7121101212011.

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., 1098463301776 + 3657709441 = 1048076^2 + 60479^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102121011217 - 2²⁰ = 1102119962641 is a prime.

Together with 1102121011219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1102121011219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551060505608 + 551060505609.

It is an arithmetic number, because the mean of its divisors is an integer number (551060505609).

Almost surely, 2^{1102121011217} is an apocalyptic number.

It is an amenable number.

1102121011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102121011217 is an equidigital number, since it uses as much as digits as its factorization.

1102121011217 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 1102121011217 its reverse (7121101212011), we get a palindrome (8223222223228).

The spelling of 1102121011217 in words is "one trillion, one hundred two billion, one hundred twenty-one million, eleven thousand, two hundred seventeen".