122102221210101 has 64 divisors (see below), whose sum is σ = 197483124556800. Its totient is φ = 73946539310400.

The previous prime is 122102221210069. The next prime is 122102221210103. The reversal of 122102221210101 is 101012122201221.

122102221210101 is a `hidden beast` number, since 1 + 221 + 0 + 2 + 221 + 210 + 10 + 1 = 666.

It is not a de Polignac number, because 122102221210101 - 2⁵ = 122102221210069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102221210103) 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 63 ways as a sum of consecutive naturals, for example, 2697832410 + ... + 2697877668.

It is an arithmetic number, because the mean of its divisors is an integer number (3085673821200).

Almost surely, 2^{122102221210101} is an apocalyptic number.

122102221210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102221210101 is a deficient number, since it is larger than the sum of its proper divisors (75380903346699).

122102221210101 is a wasteful number, since it uses less digits than its factorization.

122102221210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51807 (or 51801 counting only the distinct ones).

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

Adding to 122102221210101 its reverse (101012122201221), we get a palindrome (223114343411322).

The spelling of 122102221210101 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, two hundred ten thousand, one hundred one".