101344878017 has 8 divisors (see below), whose sum is σ = 101658411816. Its totient is φ = 101031420672.

The previous prime is 101344878001. The next prime is 101344878053. The reversal of 101344878017 is 710878443101.

It can be written as a sum of positive squares in 4 ways, for example, as 68146580401 + 33198297616 = 261049^2 + 182204^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101344878017 - 2⁴ = 101344878001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101344878067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3800543 + ... + 3827115.

It is an arithmetic number, because the mean of its divisors is an integer number (12707301477).

Almost surely, 2^101344878017 is an apocalyptic number.

It is an amenable number.

101344878017 is a deficient number, since it is larger than the sum of its proper divisors (313533799).

101344878017 is a wasteful number, since it uses less digits than its factorization.

101344878017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38227.

The product of its (nonzero) digits is 150528, while the sum is 44.

The spelling of 101344878017 in words is "one hundred one billion, three hundred forty-four million, eight hundred seventy-eight thousand, seventeen".