12211222122100 has 72 divisors (see below), whose sum is σ = 27414727532640. Its totient is φ = 4715604136320.

The previous prime is 12211222122079. The next prime is 12211222122107. The reversal of 12211222122100 is 122122211221.

12211222122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211222122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211222122107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30736927 + ... + 31131673.

It is an arithmetic number, because the mean of its divisors is an integer number (380760104620).

Almost surely, 2^{12211222122100} is an apocalyptic number.

12211222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211222122100 is an abundant number, since it is smaller than the sum of its proper divisors (15203505410540).

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

12211222122100 is a wasteful number, since it uses less digits than its factorization.

12211222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405457 (or 405450 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12211222122100 its reverse (122122211221), we get a palindrome (12333344333321).

The spelling of 12211222122100 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".