12211100002100 has 36 divisors (see below), whose sum is σ = 26498483053644. Its totient is φ = 4884366996480.

The previous prime is 12211100002063. The next prime is 12211100002109. The reversal of 12211100002100 is 120000111221.

12211100002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 989953361296 + 11221146640804 = 994964^2 + 3349798^2 .

It is a super-2 number, since 2×12211100002100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211100002109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6077924 + ... + 7833476.

Almost surely, 2^{12211100002100} is an apocalyptic number.

12211100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211100002100 is an abundant number, since it is smaller than the sum of its proper divisors (14287383051544).

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

12211100002100 is a wasteful number, since it uses less digits than its factorization.

12211100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825124 (or 1825117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12211100002100 its reverse (120000111221), we get a palindrome (12331100113321).

The spelling of 12211100002100 in words is "twelve trillion, two hundred eleven billion, one hundred million, two thousand, one hundred".