101000010100027 has 2 divisors, whose sum is σ = 101000010100028. Its totient is φ = 101000010100026.

The previous prime is 101000010099949. The next prime is 101000010100079. The reversal of 101000010100027 is 720001010000101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000010100027 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000010104027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005050013 + 50500005050014.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005050014).

Almost surely, 2^{101000010100027} is an apocalyptic number.

101000010100027 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010100027 is an equidigital number, since it uses as much as digits as its factorization.

101000010100027 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 101000010100027 its reverse (720001010000101), we get a palindrome (821001020100128).

The spelling of 101000010100027 in words is "one hundred one trillion, ten million, one hundred thousand, twenty-seven".