1001101000127 has 2 divisors, whose sum is σ = 1001101000128. Its totient is φ = 1001101000126.

The previous prime is 1001101000079. The next prime is 1001101000157. The reversal of 1001101000127 is 7210001011001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101000127 - 2¹² = 1001100996031 is a prime.

It is a super-2 number, since 2×1001101000127² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101000157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550500063 + 500550500064.

It is an arithmetic number, because the mean of its divisors is an integer number (500550500064).

Almost surely, 2^{1001101000127} is an apocalyptic number.

1001101000127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101000127 is an equidigital number, since it uses as much as digits as its factorization.

1001101000127 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 1001101000127 its reverse (7210001011001), we get a palindrome (8211102011128).

The spelling of 1001101000127 in words is "one trillion, one billion, one hundred one million, one hundred twenty-seven", and thus it is an aban number.