12101221022200 has 96 divisors (see below), whose sum is σ = 28191220200000. Its totient is φ = 4830883799040.

The previous prime is 12101221022159. The next prime is 12101221022201. The reversal of 12101221022200 is 222012210121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101221022201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 214050337 + ... + 214106863.

It is an arithmetic number, because the mean of its divisors is an integer number (293658543750).

Almost surely, 2^{12101221022200} is an apocalyptic number.

12101221022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101221022200 is an abundant number, since it is smaller than the sum of its proper divisors (16089999177800).

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

12101221022200 is a wasteful number, since it uses less digits than its factorization.

12101221022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58649 (or 58640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12101221022200 its reverse (222012210121), we get a palindrome (12323233232321).

It can be divided in two parts, 1210122 and 1022200, that added together give a palindrome (2232322).

The spelling of 12101221022200 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, twenty-two thousand, two hundred".