101331123120121 has 2 divisors, whose sum is σ = 101331123120122. Its totient is φ = 101331123120120.

The previous prime is 101331123120119. The next prime is 101331123120173. The reversal of 101331123120121 is 121021321133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81978338447721 + 19352784672400 = 9054189^2 + 4399180^2 .

It is an emirp because it is prime and its reverse (121021321133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101331123120121 - 2¹ = 101331123120119 is a prime.

Together with 101331123120119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101331123120092 and 101331123120101.

It is not a weakly prime, because it can be changed into another prime (101338123120121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665561560060 + 50665561560061.

It is an arithmetic number, because the mean of its divisors is an integer number (50665561560061).

Almost surely, 2^{101331123120121} is an apocalyptic number.

It is an amenable number.

101331123120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331123120121 is an equidigital number, since it uses as much as digits as its factorization.

101331123120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101331123120121 its reverse (121021321133101), we get a palindrome (222352444253222).

The spelling of 101331123120121 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, one hundred twenty-one".