10000001011127 has 2 divisors, whose sum is σ = 10000001011128. Its totient is φ = 10000001011126.

The previous prime is 10000001011069. The next prime is 10000001011141. The reversal of 10000001011127 is 72111010000001.

It is an a-pointer prime, because the next prime (10000001011141) can be obtained adding 10000001011127 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000001011127 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000505563 + 5000000505564.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000505564).

Almost surely, 2^{10000001011127} is an apocalyptic number.

10000001011127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001011127 is an equidigital number, since it uses as much as digits as its factorization.

10000001011127 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 14.

Adding to 10000001011127 its reverse (72111010000001), we get a palindrome (82111011011128).

The spelling of 10000001011127 in words is "ten trillion, one million, eleven thousand, one hundred twenty-seven".