101122011220121 has 2 divisors, whose sum is σ = 101122011220122. Its totient is φ = 101122011220120.

The previous prime is 101122011220081. The next prime is 101122011220123. The reversal of 101122011220121 is 121022110221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69963789598096 + 31158221622025 = 8364436^2 + 5581955^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122011220121 - 2³⁴ = 101104831350937 is a prime.

It is a super-2 number, since 2×101122011220121² (a number of 29 digits) contains 22 as substring.

Together with 101122011220123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122011220121.

It is not a weakly prime, because it can be changed into another prime (101122011220123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561005610060 + 50561005610061.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005610061).

Almost surely, 2^{101122011220121} is an apocalyptic number.

It is an amenable number.

101122011220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122011220121 is an equidigital number, since it uses as much as digits as its factorization.

101122011220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122011220121 its reverse (121022110221101), we get a palindrome (222144121441222).

The spelling of 101122011220121 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand, one hundred twenty-one".