101220122101127 has 2 divisors, whose sum is σ = 101220122101128. Its totient is φ = 101220122101126.

The previous prime is 101220122101099. The next prime is 101220122101129. The reversal of 101220122101127 is 721101221022101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220122101127 is a prime.

Together with 101220122101129, 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 (101220122101129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610061050563 + 50610061050564.

It is an arithmetic number, because the mean of its divisors is an integer number (50610061050564).

Almost surely, 2^{101220122101127} is an apocalyptic number.

101220122101127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220122101127 is an equidigital number, since it uses as much as digits as its factorization.

101220122101127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 101220122101127 its reverse (721101221022101), we get a palindrome (822321343123228).

The spelling of 101220122101127 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-seven".