122100120300033 has 80 divisors (see below), whose sum is σ = 194689624909824. Its totient is φ = 75991700897280.

The previous prime is 122100120299921. The next prime is 122100120300113. The reversal of 122100120300033 is 330003021001221.

122100120300033 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 120 + 300 + 0 + 33 = 666.

It is not a de Polignac number, because 122100120300033 - 2²² = 122100116105729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122100120299979 and 122100120300015.

It is not an unprimeable number, because it can be changed into a prime (122100120300133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 810838638 + ... + 810989208.

Almost surely, 2^{122100120300033} is an apocalyptic number.

It is an amenable number.

122100120300033 is a deficient number, since it is larger than the sum of its proper divisors (72589504609791).

122100120300033 is a wasteful number, since it uses less digits than its factorization.

122100120300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155364 (or 155355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122100120300033 its reverse (330003021001221), we get a palindrome (452103141301254).

The spelling of 122100120300033 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty million, three hundred thousand, thirty-three".