10001010001027 has 2 divisors, whose sum is σ = 10001010001028. Its totient is φ = 10001010001026.

The previous prime is 10001010000973. The next prime is 10001010001049. The reversal of 10001010001027 is 72010001010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001010001027 - 2¹¹ = 10001009998979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001010000998 and 10001010001016.

It is not a weakly prime, because it can be changed into another prime (10001010008027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505000513 + 5000505000514.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505000514).

Almost surely, 2^{10001010001027} is an apocalyptic number.

10001010001027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010001027 is an equidigital number, since it uses as much as digits as its factorization.

10001010001027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10001010001027 its reverse (72010001010001), we get a palindrome (82011011011028).

The spelling of 10001010001027 in words is "ten trillion, one billion, ten million, one thousand, twenty-seven".