20121220000100 has 18 divisors (see below), whose sum is σ = 43663047400434. Its totient is φ = 8048488000000.

The previous prime is 20121220000099. The next prime is 20121220000121. The reversal of 20121220000100 is 100002212102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 769244768356 + 19351975231744 = 877066^2 + 4399088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100606099901 + ... + 100606100100.

Almost surely, 2^{20121220000100} is an apocalyptic number.

20121220000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121220000100 is an abundant number, since it is smaller than the sum of its proper divisors (23541827400334).

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

20121220000100 is a wasteful number, since it uses less digits than its factorization.

20121220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201212200015 (or 201212200008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121220000100 its reverse (100002212102), we get a palindrome (20221222212202).

The spelling of 20121220000100 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty million, one hundred", and thus it is an aban number.