12102021102100 has 36 divisors (see below), whose sum is σ = 26262572017500. Its totient is φ = 4840589781760.

The previous prime is 12102021102071. The next prime is 12102021102103. The reversal of 12102021102100 is 120112020121.

It can be written as a sum of positive squares in 6 ways, for example, as 3156442583044 + 8945578519056 = 1776638^2 + 2990916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102021102103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 499225 + ... + 4945024.

It is an arithmetic number, because the mean of its divisors is an integer number (729515889375).

Almost surely, 2^{12102021102100} is an apocalyptic number.

12102021102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102021102100 is an abundant number, since it is smaller than the sum of its proper divisors (14160550915400).

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

12102021102100 is a wasteful number, since it uses less digits than its factorization.

12102021102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466492 (or 5466485 counting only the distinct ones).

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

Adding to 12102021102100 its reverse (120112020121), we get a palindrome (12222133122221).

The spelling of 12102021102100 in words is "twelve trillion, one hundred two billion, twenty-one million, one hundred two thousand, one hundred".