12101122212102 has 144 divisors (see below), whose sum is σ = 35023656657600. Its totient is φ = 2977719706080.

The previous prime is 12101122212097. The next prime is 12101122212107. The reversal of 12101122212102 is 20121222110121.

12101122212102 is a `hidden beast` number, since 121 + 0 + 112 + 221 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12101122212097) and next prime (12101122212107).

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 (12101122212107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32638852 + ... + 33007527.

It is an arithmetic number, because the mean of its divisors is an integer number (243219837900).

Almost surely, 2^{12101122212102} is an apocalyptic number.

12101122212102 is an abundant number, since it is smaller than the sum of its proper divisors (22922534445498).

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

12101122212102 is a wasteful number, since it uses less digits than its factorization.

12101122212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65646431 (or 65646421 counting only the distinct ones).

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

Adding to 12101122212102 its reverse (20121222110121), we get a palindrome (32222344322223).

The spelling of 12101122212102 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred two".