2122101011101 has 2 divisors, whose sum is σ = 2122101011102. Its totient is φ = 2122101011100.

The previous prime is 2122101011099. The next prime is 2122101011167. The reversal of 2122101011101 is 1011101012212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1735210791076 + 386890220025 = 1317274^2 + 622005^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101011101 - 2¹ = 2122101011099 is a prime.

Together with 2122101011099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122101051101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050505550 + 1061050505551.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050505551).

Almost surely, 2^{2122101011101} is an apocalyptic number.

It is an amenable number.

2122101011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101011101 is an equidigital number, since it uses as much as digits as its factorization.

2122101011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2122101011101 its reverse (1011101012212), we get a palindrome (3133202023313).

The spelling of 2122101011101 in words is "two trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, one hundred one".