12211022121100 has 72 divisors (see below), whose sum is σ = 29521858480128. Its totient is φ = 4345895668800.

The previous prime is 12211022121091. The next prime is 12211022121107. The reversal of 12211022121100 is 112122011221.

It is a super-2 number, since 2×12211022121100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211022121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118043292 + ... + 118146691.

It is an arithmetic number, because the mean of its divisors is an integer number (410025812224).

Almost surely, 2^{12211022121100} is an apocalyptic number.

12211022121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211022121100 is an abundant number, since it is smaller than the sum of its proper divisors (17310836359028).

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

12211022121100 is a wasteful number, since it uses less digits than its factorization.

12211022121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236190055 (or 236190048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211022121100 its reverse (112122011221), we get a palindrome (12323144132321).

The spelling of 12211022121100 in words is "twelve trillion, two hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred".