12100332122100 has 162 divisors, whose sum is σ = 38980603710594. Its totient is φ = 3139545312000.

The previous prime is 12100332122051. The next prime is 12100332122141. The reversal of 12100332122100 is 122123300121.

12100332122100 is a `hidden beast` number, since 1 + 210 + 0 + 33 + 212 + 210 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 30363759504 + 12069968362596 = 174252^2 + 3474186^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3678351 + ... + 6142550.

Almost surely, 2^{12100332122100} is an apocalyptic number.

12100332122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100332122100 is an abundant number, since it is smaller than the sum of its proper divisors (26880271588494).

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

12100332122100 is a wasteful number, since it uses less digits than its factorization.

12100332122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820995 (or 9820948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12100332122100 its reverse (122123300121), we get a palindrome (12222455422221).

The spelling of 12100332122100 in words is "twelve trillion, one hundred billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred".