1007117101 has 4 divisors (see below), whose sum is σ = 1009579900. Its totient is φ = 1004654304.

The previous prime is 1007117099. The next prime is 1007117107. The reversal of 1007117101 is 1017117001.

It is a happy number.

1007117101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 496131076 + 510986025 = 22274^2 + 22605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007117101 - 2¹ = 1007117099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007117107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1230786 + ... + 1231603.

It is an arithmetic number, because the mean of its divisors is an integer number (252394975).

Almost surely, 2^1007117101 is an apocalyptic number.

It is an amenable number.

1007117101 is a deficient number, since it is larger than the sum of its proper divisors (2462799).

1007117101 is an equidigital number, since it uses as much as digits as its factorization.

1007117101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462798.

The product of its (nonzero) digits is 49, while the sum is 19.

The square root of 1007117101 is about 31735.1083344614. The cubic root of 1007117101 is about 1002.3667610231.

It can be divided in two parts, 10071 and 17101, that added together give a palindrome (27172).

The spelling of 1007117101 in words is "one billion, seven million, one hundred seventeen thousand, one hundred one".