12220012000100 has 36 divisors (see below), whose sum is σ = 28077274634724. Its totient is φ = 4600475105280.

The previous prime is 12220012000033. The next prime is 12220012000111. The reversal of 12220012000100 is 100021002221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1810187266624 + 10409824733476 = 1345432^2 + 3226426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3594119477 + ... + 3594122876.

It is an arithmetic number, because the mean of its divisors is an integer number (779924295409).

Almost surely, 2^{12220012000100} is an apocalyptic number.

12220012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012000100 is an abundant number, since it is smaller than the sum of its proper divisors (15857262634624).

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

12220012000100 is a wasteful number, since it uses less digits than its factorization.

12220012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188242384 (or 7188242377 counting only the distinct ones).

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

Adding to 12220012000100 its reverse (100021002221), we get a palindrome (12320033002321).

The spelling of 12220012000100 in words is "twelve trillion, two hundred twenty billion, twelve million, one hundred", and thus it is an aban number.