101827312107315 has 8 divisors (see below), whose sum is σ = 162923699371728. Its totient is φ = 54307899790560.

The previous prime is 101827312107253. The next prime is 101827312107317. The reversal of 101827312107315 is 513701213728101.

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

It is not a de Polignac number, because 101827312107315 - 2¹⁶ = 101827312041779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101827312107317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394243736896 + ... + 3394243736925.

It is an arithmetic number, because the mean of its divisors is an integer number (20365462421466).

Almost surely, 2^{101827312107315} is an apocalyptic number.

101827312107315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101827312107315 is a deficient number, since it is larger than the sum of its proper divisors (61096387264413).

101827312107315 is an equidigital number, since it uses as much as digits as its factorization.

101827312107315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788487473829.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 101827312107315 in words is "one hundred one trillion, eight hundred twenty-seven billion, three hundred twelve million, one hundred seven thousand, three hundred fifteen".