122102202121011 has 72 divisors (see below), whose sum is σ = 211892869214208. Its totient is φ = 67486973148000.

The previous prime is 122102202121007. The next prime is 122102202121013. The reversal of 122102202121011 is 110121202201221.

122102202121011 is a `hidden beast` number, since 1 + 2 + 210 + 220 + 21 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 122102202121011 - 2² = 122102202121007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122102202121013) 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 71 ways as a sum of consecutive naturals, for example, 24086046 + ... + 28711356.

It is an arithmetic number, because the mean of its divisors is an integer number (2942956516864).

Almost surely, 2^{122102202121011} is an apocalyptic number.

122102202121011 is a deficient number, since it is larger than the sum of its proper divisors (89790667093197).

122102202121011 is a wasteful number, since it uses less digits than its factorization.

122102202121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627293 (or 4627283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102202121011 its reverse (110121202201221), we get a palindrome (232223404322232).

The spelling of 122102202121011 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, one hundred twenty-one thousand, eleven".