10001020085827 has 2 divisors, whose sum is σ = 10001020085828. Its totient is φ = 10001020085826.

The previous prime is 10001020085813. The next prime is 10001020085843. The reversal of 10001020085827 is 72858002010001.

10001020085827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001020085827 - 2²³ = 10001011697219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001020085792 and 10001020085801.

It is not a weakly prime, because it can be changed into another prime (10001020085807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000510042913 + 5000510042914.

It is an arithmetic number, because the mean of its divisors is an integer number (5000510042914).

Almost surely, 2^{10001020085827} is an apocalyptic number.

10001020085827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001020085827 is an equidigital number, since it uses as much as digits as its factorization.

10001020085827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 34.

Adding to 10001020085827 its reverse (72858002010001), we get a palindrome (82859022095828).

The spelling of 10001020085827 in words is "ten trillion, one billion, twenty million, eighty-five thousand, eight hundred twenty-seven".