101417714101 has 8 divisors (see below), whose sum is σ = 110677180608. Its totient is φ = 92164860000.

The previous prime is 101417714087. The next prime is 101417714119.

101417714101 is nontrivially palindromic in base 10.

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 101417714101 - 2²⁷ = 101283496373 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101417714101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101417714131) 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, 1621000 + ... + 1682401.

It is an arithmetic number, because the mean of its divisors is an integer number (13834647576).

Almost surely, 2^101417714101 is an apocalyptic number.

101417714101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101417714101 is a deficient number, since it is larger than the sum of its proper divisors (9259466507).

101417714101 is a wasteful number, since it uses less digits than its factorization.

101417714101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306203.

The product of its (nonzero) digits is 784, while the sum is 28.

It can be divided in two parts, 101417 and 714101, that added together give a palindrome (815518).

The spelling of 101417714101 in words is "one hundred one billion, four hundred seventeen million, seven hundred fourteen thousand, one hundred one".