1102121201117 has 2 divisors, whose sum is σ = 1102121201118. Its totient is φ = 1102121201116.

The previous prime is 1102121201003. The next prime is 1102121201131. The reversal of 1102121201117 is 7111021212011.

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., 1076657339641 + 25463861476 = 1037621^2 + 159574^2 .

It is an emirp because it is prime and its reverse (7111021212011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1102121201117 - 2⁸ = 1102121200861 is a prime.

It is a super-2 number, since 2×1102121201117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102121201917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551060600558 + 551060600559.

It is an arithmetic number, because the mean of its divisors is an integer number (551060600559).

Almost surely, 2^{1102121201117} is an apocalyptic number.

It is an amenable number.

1102121201117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102121201117 is an equidigital number, since it uses as much as digits as its factorization.

1102121201117 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 1102121201117 its reverse (7111021212011), we get a palindrome (8213142413128).

The spelling of 1102121201117 in words is "one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred seventeen".