12210122101100 has 144 divisors (see below), whose sum is σ = 33036599022336. Its totient is φ = 3805444896000.

The previous prime is 12210122101091. The next prime is 12210122101153. The reversal of 12210122101100 is 110122101221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106841990 + ... + 106956210.

It is an arithmetic number, because the mean of its divisors is an integer number (229420826544).

Almost surely, 2^{12210122101100} is an apocalyptic number.

12210122101100 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 12210122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518299511168).

12210122101100 is an abundant number, since it is smaller than the sum of its proper divisors (20826476921236).

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

12210122101100 is a wasteful number, since it uses less digits than its factorization.

12210122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128136 (or 128129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12210122101100 its reverse (110122101221), we get a palindrome (12320244202321).

The spelling of 12210122101100 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, one hundred one thousand, one hundred".