12211111102100 has 36 divisors (see below), whose sum is σ = 27144406493148. Its totient is φ = 4765311648000.

The previous prime is 12211111101997. The next prime is 12211111102147. The reversal of 12211111102100 is 120111111221.

It can be written as a sum of positive squares in 6 ways, for example, as 2173188982276 + 10037922119824 = 1474174^2 + 3168268^2 .

It is a super-2 number, since 2×12211111102100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489155791 + ... + 1489163990.

Almost surely, 2^{12211111102100} is an apocalyptic number.

12211111102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211111102100 is an abundant number, since it is smaller than the sum of its proper divisors (14933295391048).

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

12211111102100 is a wasteful number, since it uses less digits than its factorization.

12211111102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978319836 (or 2978319829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12211111102100 its reverse (120111111221), we get a palindrome (12331222213321).

The spelling of 12211111102100 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred two thousand, one hundred".