1100101117 has 2 divisors, whose sum is σ = 1100101118. Its totient is φ = 1100101116.

The previous prime is 1100101111. The next prime is 1100101151. The reversal of 1100101117 is 7111010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1084648356 + 15452761 = 32934^2 + 3931^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100101117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100101097 and 1100101106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050558 + 550050559.

It is an arithmetic number, because the mean of its divisors is an integer number (550050559).

Almost surely, 2^1100101117 is an apocalyptic number.

It is an amenable number.

1100101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101117 is an equidigital number, since it uses as much as digits as its factorization.

1100101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

The square root of 1100101117 is about 33167.7722646547. The cubic root of 1100101117 is about 1032.3117451140.

Adding to 1100101117 its reverse (7111010011), we get a palindrome (8211111128).

The spelling of 1100101117 in words is "one billion, one hundred million, one hundred one thousand, one hundred seventeen".