2122101110081 has 2 divisors, whose sum is σ = 2122101110082. Its totient is φ = 2122101110080.

The previous prime is 2122101110069. The next prime is 2122101110113. The reversal of 2122101110081 is 1800111012212.

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., 1865245747600 + 256855362481 = 1365740^2 + 506809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101110081 - 2¹⁰ = 2122101109057 is a prime.

It is a super-2 number, since 2×2122101110081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122101110881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050555040 + 1061050555041.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050555041).

Almost surely, 2^{2122101110081} is an apocalyptic number.

It is an amenable number.

2122101110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101110081 is an equidigital number, since it uses as much as digits as its factorization.

2122101110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 2122101110081 its reverse (1800111012212), we get a palindrome (3922212122293).

The spelling of 2122101110081 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, eighty-one".