12100211110221 has 96 divisors (see below), whose sum is σ = 18554036465664. Its totient is φ = 6996132000000.

The previous prime is 12100211110187. The next prime is 12100211110231. The reversal of 12100211110221 is 12201111200121.

It is a happy number.

It is not a de Polignac number, because 12100211110221 - 2²⁶ = 12100144001357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100211110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100211110231) 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 95 ways as a sum of consecutive naturals, for example, 534190746 + ... + 534213396.

It is an arithmetic number, because the mean of its divisors is an integer number (193271213184).

Almost surely, 2^{12100211110221} is an apocalyptic number.

It is an amenable number.

12100211110221 is a deficient number, since it is larger than the sum of its proper divisors (6453825355443).

12100211110221 is a wasteful number, since it uses less digits than its factorization.

12100211110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515 (or 23502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12100211110221 its reverse (12201111200121), we get a palindrome (24301322310342).

The spelling of 12100211110221 in words is "twelve trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, two hundred twenty-one".