12101100001221 has 64 divisors (see below), whose sum is σ = 20215934484480. Its totient is φ = 6255118779840.

The previous prime is 12101100001187. The next prime is 12101100001247. The reversal of 12101100001221 is 12210000110121.

It is not a de Polignac number, because 12101100001221 - 2²⁵ = 12101066446789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101100001197 and 12101100001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101100003221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110337550 + ... + 110447168.

It is an arithmetic number, because the mean of its divisors is an integer number (315873976320).

Almost surely, 2^{12101100001221} is an apocalyptic number.

12101100001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101100001221 is a deficient number, since it is larger than the sum of its proper divisors (8114834483259).

12101100001221 is a wasteful number, since it uses less digits than its factorization.

12101100001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112006.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101100001221 its reverse (12210000110121), we get a palindrome (24311100111342).

The spelling of 12101100001221 in words is "twelve trillion, one hundred one billion, one hundred million, one thousand, two hundred twenty-one".