10101122202121 has 2 divisors, whose sum is σ = 10101122202122. Its totient is φ = 10101122202120.

The previous prime is 10101122202013. The next prime is 10101122202139. The reversal of 10101122202121 is 12120222110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10078491512896 + 22630689225 = 3174664^2 + 150435^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101122202121 - 2³¹ = 10098974718473 is a prime.

It is a super-3 number, since 3×10101122202121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101122202095 and 10101122202104.

It is not a weakly prime, because it can be changed into another prime (10101122205121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561101060 + 5050561101061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561101061).

Almost surely, 2^{10101122202121} is an apocalyptic number.

It is an amenable number.

10101122202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122202121 is an equidigital number, since it uses as much as digits as its factorization.

10101122202121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10101122202121 its reverse (12120222110101), we get a palindrome (22221344312222).

The spelling of 10101122202121 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".