1100212121117 has 2 divisors, whose sum is σ = 1100212121118. Its totient is φ = 1100212121116.

The previous prime is 1100212121101. The next prime is 1100212121119. The reversal of 1100212121117 is 7111212120011.

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., 555481033636 + 544731087481 = 745306^2 + 738059^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100212121117 - 2⁴ = 1100212121101 is a prime.

It is a super-2 number, since 2×1100212121117² (a number of 25 digits) contains 22 as substring.

Together with 1100212121119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100212121119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550106060558 + 550106060559.

It is an arithmetic number, because the mean of its divisors is an integer number (550106060559).

Almost surely, 2^{1100212121117} is an apocalyptic number.

It is an amenable number.

1100212121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100212121117 is an equidigital number, since it uses as much as digits as its factorization.

1100212121117 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 1100212121117 its reverse (7111212120011), we get a palindrome (8211424241128).

The spelling of 1100212121117 in words is "one trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, one hundred seventeen".