12211010101100 has 72 divisors (see below), whose sum is σ = 26971587301680. Its totient is φ = 4797237944320.

The previous prime is 12211010101091. The next prime is 12211010101139. The reversal of 12211010101100 is 110101011221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5528972 + ... + 7415628.

It is an arithmetic number, because the mean of its divisors is an integer number (374605379190).

Almost surely, 2^{12211010101100} is an apocalyptic number.

12211010101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485793650840).

12211010101100 is an abundant number, since it is smaller than the sum of its proper divisors (14760577200580).

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

12211010101100 is a wasteful number, since it uses less digits than its factorization.

12211010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887827 (or 1887820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12211010101100 its reverse (110101011221), we get a palindrome (12321111112321).

The spelling of 12211010101100 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred one thousand, one hundred".