12101221010200 has 96 divisors (see below), whose sum is σ = 32168141330400. Its totient is φ = 4147252208640.

The previous prime is 12101221010159. The next prime is 12101221010231. The reversal of 12101221010200 is 201012210121.

It is a super-3 number, since 3×12101221010200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1535532 + ... + 5153668.

It is an arithmetic number, because the mean of its divisors is an integer number (335084805525).

Almost surely, 2^{12101221010200} is an apocalyptic number.

12101221010200 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 12101221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084070665200).

12101221010200 is an abundant number, since it is smaller than the sum of its proper divisors (20066920320200).

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

12101221010200 is a wasteful number, since it uses less digits than its factorization.

12101221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620549 (or 3620540 counting only the distinct ones).

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

Adding to 12101221010200 its reverse (201012210121), we get a palindrome (12302233220321).

The spelling of 12101221010200 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, ten thousand, two hundred".