101559956668415 has 128 divisors (see below), whose sum is σ = 154928015278080. Its totient is φ = 62336092492800.

The previous prime is 101559956668403. The next prime is 101559956668421. The reversal of 101559956668415 is 514866659955101.

101559956668415 is nontrivially palindromic in base 6.

It is a Cunningham number, because it is equal to 6¹⁸-1.

It is not a de Polignac number, because 101559956668415 - 2¹⁴ = 101559956652031 is a prime.

It is a super-2 number, since 2×101559956668415² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

101559956668415 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2186836595 + ... + 2186883035.

It is an arithmetic number, because the mean of its divisors is an integer number (1210375119360).

Almost surely, 2^{101559956668415} is an apocalyptic number.

101559956668415 is a deficient number, since it is larger than the sum of its proper divisors (53368058609665).

101559956668415 is a wasteful number, since it uses less digits than its factorization.

101559956668415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49013.

The product of its (nonzero) digits is 349920000, while the sum is 71.

The spelling of 101559956668415 in words is "one hundred one trillion, five hundred fifty-nine billion, nine hundred fifty-six million, six hundred sixty-eight thousand, four hundred fifteen".