1011100117 has 2 divisors, whose sum is σ = 1011100118. Its totient is φ = 1011100116.

The previous prime is 1011100091. The next prime is 1011100121. The reversal of 1011100117 is 7110011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 532409476 + 478690641 = 23074^2 + 21879^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011100117 - 2⁷ = 1011099989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011100097 and 1011100106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550058 + 505550059.

It is an arithmetic number, because the mean of its divisors is an integer number (505550059).

Almost surely, 2^1011100117 is an apocalyptic number.

It is an amenable number.

1011100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011100117 is an equidigital number, since it uses as much as digits as its factorization.

1011100117 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 1011100117 is about 31797.8005056954. The cubic root of 1011100117 is about 1003.6864325160.

Adding to 1011100117 its reverse (7110011101), we get a palindrome (8121111218).

The spelling of 1011100117 in words is "one billion, eleven million, one hundred thousand, one hundred seventeen".