1100106117997 has 2 divisors, whose sum is σ = 1100106117998. Its totient is φ = 1100106117996.

The previous prime is 1100106117991. The next prime is 1100106118039. The reversal of 1100106117997 is 7997116010011.

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., 1085443087716 + 14663030281 = 1041846^2 + 121091^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100106117997 - 2²³ = 1100097729389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100106117991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550053058998 + 550053058999.

It is an arithmetic number, because the mean of its divisors is an integer number (550053058999).

Almost surely, 2^{1100106117997} is an apocalyptic number.

It is an amenable number.

1100106117997 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100106117997 is an equidigital number, since it uses as much as digits as its factorization.

1100106117997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 43.

The spelling of 1100106117997 in words is "one trillion, one hundred billion, one hundred six million, one hundred seventeen thousand, nine hundred ninety-seven".