12122011122100 has 216 divisors, whose sum is σ = 29221554700800. Its totient is φ = 4361105760000.

The previous prime is 12122011122077. The next prime is 12122011122121. The reversal of 12122011122100 is 122111022121.

It is a super-2 number, since 2×12122011122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2149671081 + ... + 2149676719.

Almost surely, 2^{12122011122100} is an apocalyptic number.

12122011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122011122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610777350400).

12122011122100 is an abundant number, since it is smaller than the sum of its proper divisors (17099543578700).

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

12122011122100 is a wasteful number, since it uses less digits than its factorization.

12122011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7517 counting only the distinct ones).

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

Adding to 12122011122100 its reverse (122111022121), we get a palindrome (12244122144221).

The spelling of 12122011122100 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred".