12122120100100 has 18 divisors (see below), whose sum is σ = 26305000617434. Its totient is φ = 4848848040000.

The previous prime is 12122120100073. The next prime is 12122120100109. The reversal of 12122120100100 is 100102122121.

It can be written as a sum of positive squares in 3 ways, for example, as 2385523496196 + 9736596603904 = 1544514^2 + 3120352^2 .

It is not an unprimeable number, because it can be changed into a prime (12122120100109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60610600401 + ... + 60610600600.

Almost surely, 2^{12122120100100} is an apocalyptic number.

12122120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122120100100 is an abundant number, since it is smaller than the sum of its proper divisors (14182880517334).

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

12122120100100 is a wasteful number, since it uses less digits than its factorization.

12122120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121221201015 (or 121221201008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12122120100100 its reverse (100102122121), we get a palindrome (12222222222221).

The spelling of 12122120100100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, one hundred".