10100011001027 has 2 divisors, whose sum is σ = 10100011001028. Its totient is φ = 10100011001026.

The previous prime is 10100011000967. The next prime is 10100011001029. The reversal of 10100011001027 is 72010011000101.

10100011001027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100011001027 - 2¹⁰ = 10100011000003 is a prime.

Together with 10100011001029, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100011001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005500513 + 5050005500514.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005500514).

Almost surely, 2^{10100011001027} is an apocalyptic number.

10100011001027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011001027 is an equidigital number, since it uses as much as digits as its factorization.

10100011001027 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100011001027 its reverse (72010011000101), we get a palindrome (82110022001128).

The spelling of 10100011001027 in words is "ten trillion, one hundred billion, eleven million, one thousand, twenty-seven".