101222122133 has 16 divisors (see below), whose sum is σ = 112533043392. Its totient is φ = 90263472000.

The previous prime is 101222122123. The next prime is 101222122139. The reversal of 101222122133 is 331221222101.

It is a cyclic number.

It is not a de Polignac number, because 101222122133 - 2⁸ = 101222121877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222122139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945138 + ... + 2979308.

It is an arithmetic number, because the mean of its divisors is an integer number (7033315212).

Almost surely, 2^101222122133 is an apocalyptic number.

It is an amenable number.

101222122133 is a deficient number, since it is larger than the sum of its proper divisors (11310921259).

101222122133 is a wasteful number, since it uses less digits than its factorization.

101222122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39316.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101222122133 its reverse (331221222101), we get a palindrome (432443344234).

The spelling of 101222122133 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-three".