1001011117 has 2 divisors, whose sum is σ = 1001011118. Its totient is φ = 1001011116.

The previous prime is 1001011103. The next prime is 1001011127. The reversal of 1001011117 is 7111101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 733001476 + 268009641 = 27074^2 + 16371^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001011117 - 2¹⁹ = 1000486829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001011097 and 1001011106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001011127) 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, 500505558 + 500505559.

It is an arithmetic number, because the mean of its divisors is an integer number (500505559).

Almost surely, 2^1001011117 is an apocalyptic number.

It is an amenable number.

1001011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011117 is an equidigital number, since it uses as much as digits as its factorization.

1001011117 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1001011117 is about 31638.7597260070. The cubic root of 1001011117 is about 1000.3369254685.

Adding to 1001011117 its reverse (7111101001), we get a palindrome (8112112118).

The spelling of 1001011117 in words is "one billion, one million, eleven thousand, one hundred seventeen".