2122101012127 has 2 divisors, whose sum is σ = 2122101012128. Its totient is φ = 2122101012126.

The previous prime is 2122101012071. The next prime is 2122101012139. The reversal of 2122101012127 is 7212101012212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2122101012127 - 2⁷ = 2122101011999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122101012098 and 2122101012107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122101012527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050506063 + 1061050506064.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050506064).

Almost surely, 2^{2122101012127} is an apocalyptic number.

2122101012127 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101012127 is an equidigital number, since it uses as much as digits as its factorization.

2122101012127 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 22.

Adding to 2122101012127 its reverse (7212101012212), we get a palindrome (9334202024339).

The spelling of 2122101012127 in words is "two trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, one hundred twenty-seven".