12211211102101 has 16 divisors (see below), whose sum is σ = 13349189039616. Its totient is φ = 11077880310000.

The previous prime is 12211211102087. The next prime is 12211211102183. The reversal of 12211211102101 is 10120111211221.

It is a cyclic number.

It is not a de Polignac number, because 12211211102101 - 2²¹ = 12211209004949 is a prime.

It is a super-2 number, since 2×12211211102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211211102501) 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 15 ways as a sum of consecutive naturals, for example, 118721986 + ... + 118824796.

It is an arithmetic number, because the mean of its divisors is an integer number (834324314976).

Almost surely, 2^{12211211102101} is an apocalyptic number.

12211211102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211211102101 is a deficient number, since it is larger than the sum of its proper divisors (1137977937515).

12211211102101 is a wasteful number, since it uses less digits than its factorization.

12211211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125304.

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

Adding to 12211211102101 its reverse (10120111211221), we get a palindrome (22331322313322).

The spelling of 12211211102101 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, one hundred two thousand, one hundred one".