12122101122102 has 64 divisors (see below), whose sum is σ = 28114136156160. Its totient is φ = 3864341777472.

The previous prime is 12122101122071. The next prime is 12122101122107. The reversal of 12122101122102 is 20122110122121.

12122101122102 is a `hidden beast` number, since 121 + 221 + 0 + 112 + 210 + 2 = 666.

It is a super-2 number, since 2×12122101122102² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101122107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6274723 + ... + 7975985.

It is an arithmetic number, because the mean of its divisors is an integer number (439283377440).

Almost surely, 2^{12122101122102} is an apocalyptic number.

12122101122102 is an abundant number, since it is smaller than the sum of its proper divisors (15992035034058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122101122102 is a wasteful number, since it uses less digits than its factorization.

12122101122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707034 (or 1707028 counting only the distinct ones).

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

Adding to 12122101122102 its reverse (20122110122121), we get a palindrome (32244211244223).

The spelling of 12122101122102 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred two".