10001101001027 has 2 divisors, whose sum is σ = 10001101001028. Its totient is φ = 10001101001026.

The previous prime is 10001101000999. The next prime is 10001101001029. The reversal of 10001101001027 is 72010010110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001101001027 - 2⁸ = 10001101000771 is a prime.

It is a super-2 number, since 2×10001101001027² (a number of 27 digits) contains 22 as substring.

Together with 10001101001029, 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 (10001101001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550500513 + 5000550500514.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550500514).

Almost surely, 2^{10001101001027} is an apocalyptic number.

10001101001027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101001027 is an equidigital number, since it uses as much as digits as its factorization.

10001101001027 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 10001101001027 its reverse (72010010110001), we get a palindrome (82011111111028).

The spelling of 10001101001027 in words is "ten trillion, one billion, one hundred one million, one thousand, twenty-seven".