101211202121 has 2 divisors, whose sum is σ = 101211202122. Its totient is φ = 101211202120.

The previous prime is 101211202093. The next prime is 101211202123. The reversal of 101211202121 is 121202112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97382067721 + 3829134400 = 312061^2 + 61880^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211202121 - 2¹⁰ = 101211201097 is a prime.

It is a super-3 number, since 3×101211202121³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 101211202123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101211202096 and 101211202105.

It is not a weakly prime, because it can be changed into another prime (101211202123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605601060 + 50605601061.

It is an arithmetic number, because the mean of its divisors is an integer number (50605601061).

Almost surely, 2^101211202121 is an apocalyptic number.

It is an amenable number.

101211202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211202121 is an equidigital number, since it uses as much as digits as its factorization.

101211202121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211202121 its reverse (121202112101), we get a palindrome (222413314222).

The spelling of 101211202121 in words is "one hundred one billion, two hundred eleven million, two hundred two thousand, one hundred twenty-one".