1007015100117 has 16 divisors (see below), whose sum is σ = 1522074106560. Its totient is φ = 587085725952.

The previous prime is 1007015100109. The next prime is 1007015100151. The reversal of 1007015100117 is 7110015107001.

It is not a de Polignac number, because 1007015100117 - 2³ = 1007015100109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007015100017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679496628 + ... + 679498109.

It is an arithmetic number, because the mean of its divisors is an integer number (95129631660).

Almost surely, 2^{1007015100117} is an apocalyptic number.

It is an amenable number.

1007015100117 is a deficient number, since it is larger than the sum of its proper divisors (515059006443).

1007015100117 is a wasteful number, since it uses less digits than its factorization.

1007015100117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358994772.

The product of its (nonzero) digits is 245, while the sum is 24.

The spelling of 1007015100117 in words is "one trillion, seven billion, fifteen million, one hundred thousand, one hundred seventeen".