122222002100013 has 80 divisors (see below), whose sum is σ = 187410763180080. Its totient is φ = 79348841754624.

The previous prime is 122222002099927. The next prime is 122222002100047. The reversal of 122222002100013 is 310001200222221.

122222002100013 is a `hidden beast` number, since 1 + 222 + 220 + 0 + 210 + 0 + 0 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6392791389609 + 115829210710404 = 2528397^2 + 10762398^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122222002100013 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 (122222002100053) 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 79 ways as a sum of consecutive naturals, for example, 626049331 + ... + 626244527.

It is an arithmetic number, because the mean of its divisors is an integer number (2342634539751).

Almost surely, 2^{122222002100013} is an apocalyptic number.

It is an amenable number.

122222002100013 is a deficient number, since it is larger than the sum of its proper divisors (65188761080067).

122222002100013 is a wasteful number, since it uses less digits than its factorization.

122222002100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196348 (or 196339 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122222002100013 its reverse (310001200222221), we get a palindrome (432223202322234).

The spelling of 122222002100013 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two million, one hundred thousand, thirteen".