101647827388273 has 8 divisors (see below), whose sum is σ = 104127179778216. Its totient is φ = 99168481526400.

The previous prime is 101647827388267. The next prime is 101647827388307. The reversal of 101647827388273 is 372883728746101.

It can be written as a sum of positive squares in 4 ways, for example, as 14511894064704 + 87135933323569 = 3809448^2 + 9334663^2 .

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 101647827388273 - 2⁵ = 101647827388241 is a prime.

It is a super-2 number, since 2×101647827388273² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101647827388199 and 101647827388208.

It is not an unprimeable number, because it can be changed into a prime (101647827388673) 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, 48284743 + ... + 50345923.

It is an arithmetic number, because the mean of its divisors is an integer number (13015897472277).

Almost surely, 2^{101647827388273} is an apocalyptic number.

It is an amenable number.

101647827388273 is a deficient number, since it is larger than the sum of its proper divisors (2479352389943).

101647827388273 is a wasteful number, since it uses less digits than its factorization.

101647827388273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264035.

The product of its (nonzero) digits is 151732224, while the sum is 67.

The spelling of 101647827388273 in words is "one hundred one trillion, six hundred forty-seven billion, eight hundred twenty-seven million, three hundred eighty-eight thousand, two hundred seventy-three".