12202021002100 has 288 divisors, whose sum is σ = 29145478320000. Its totient is φ = 4413532569600.

The previous prime is 12202021002097. The next prime is 12202021002121. The reversal of 12202021002100 is 120012020221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13850193660 + ... + 13850194540.

It is an arithmetic number, because the mean of its divisors is an integer number (101199577500).

Almost surely, 2^{12202021002100} is an apocalyptic number.

12202021002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202021002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572739160000).

12202021002100 is an abundant number, since it is smaller than the sum of its proper divisors (16943457317900).

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

12202021002100 is a wasteful number, since it uses less digits than its factorization.

12202021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202021002100 its reverse (120012020221), we get a palindrome (12322033022321).

The spelling of 12202021002100 in words is "twelve trillion, two hundred two billion, twenty-one million, two thousand, one hundred".