10121010001127 has 2 divisors, whose sum is σ = 10121010001128. Its totient is φ = 10121010001126.

The previous prime is 10121010001097. The next prime is 10121010001129. The reversal of 10121010001127 is 72110001012101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10121010001127 - 2³⁶ = 10052290524391 is a prime.

Together with 10121010001129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121010001129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060505000563 + 5060505000564.

It is an arithmetic number, because the mean of its divisors is an integer number (5060505000564).

Almost surely, 2^{10121010001127} is an apocalyptic number.

10121010001127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121010001127 is an equidigital number, since it uses as much as digits as its factorization.

10121010001127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10121010001127 its reverse (72110001012101), we get a palindrome (82231011013228).

The spelling of 10121010001127 in words is "ten trillion, one hundred twenty-one billion, ten million, one thousand, one hundred twenty-seven".