122202200100033 has 48 divisors (see below), whose sum is σ = 189786069607680. Its totient is φ = 75526949532672.

The previous prime is 122202200099989. The next prime is 122202200100047. The reversal of 122202200100033 is 330001002202221.

It is not a de Polignac number, because 122202200100033 - 2¹³ = 122202200091841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122202200099979 and 122202200100015.

It is not an unprimeable number, because it can be changed into a prime (122202200100433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52983985 + ... + 55242257.

It is an arithmetic number, because the mean of its divisors is an integer number (3953876450160).

Almost surely, 2^{122202200100033} is an apocalyptic number.

It is an amenable number.

122202200100033 is a deficient number, since it is larger than the sum of its proper divisors (67583869507647).

122202200100033 is a wasteful number, since it uses less digits than its factorization.

122202200100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265078 (or 2265075 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122202200100033 its reverse (330001002202221), we get a palindrome (452203202302254).

The spelling of 122202200100033 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred million, one hundred thousand, thirty-three".