1010012105827 has 2 divisors, whose sum is σ = 1010012105828. Its totient is φ = 1010012105826.

The previous prime is 1010012105771. The next prime is 1010012105833. The reversal of 1010012105827 is 7285012100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010012105827 - 2³¹ = 1007864622179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010012105795 and 1010012105804.

It is not a weakly prime, because it can be changed into another prime (1010012105857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006052913 + 505006052914.

It is an arithmetic number, because the mean of its divisors is an integer number (505006052914).

Almost surely, 2^{1010012105827} is an apocalyptic number.

1010012105827 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010012105827 is an equidigital number, since it uses as much as digits as its factorization.

1010012105827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 28.

Adding to 1010012105827 its reverse (7285012100101), we get a palindrome (8295024205928).

The spelling of 1010012105827 in words is "one trillion, ten billion, twelve million, one hundred five thousand, eight hundred twenty-seven".