101120122332133 has 2 divisors, whose sum is σ = 101120122332134. Its totient is φ = 101120122332132.

The previous prime is 101120122332109. The next prime is 101120122332143. The reversal of 101120122332133 is 331233221021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86484922274529 + 14635200057604 = 9299727^2 + 3825598^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120122332133 - 2²⁹ = 101119585461221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120122332098 and 101120122332107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120122332143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560061166066 + 50560061166067.

It is an arithmetic number, because the mean of its divisors is an integer number (50560061166067).

Almost surely, 2^{101120122332133} is an apocalyptic number.

It is an amenable number.

101120122332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120122332133 is an equidigital number, since it uses as much as digits as its factorization.

101120122332133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101120122332133 its reverse (331233221021101), we get a palindrome (432353343353234).

The spelling of 101120122332133 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred thirty-three".