12100000222101 has 32 divisors (see below), whose sum is σ = 18207567504000. Its totient is φ = 7080199105280.

The previous prime is 12100000222081. The next prime is 12100000222151. The reversal of 12100000222101 is 10122200000121.

It is a cyclic number.

It is not a de Polignac number, because 12100000222101 - 2¹³ = 12100000213909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100000222151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27485815 + ... + 27922571.

It is an arithmetic number, because the mean of its divisors is an integer number (568986484500).

Almost surely, 2^{12100000222101} is an apocalyptic number.

12100000222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100000222101 is a deficient number, since it is larger than the sum of its proper divisors (6107567281899).

12100000222101 is a wasteful number, since it uses less digits than its factorization.

12100000222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465749.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100000222101 its reverse (10122200000121), we get a palindrome (22222200222222).

The spelling of 12100000222101 in words is "twelve trillion, one hundred billion, two hundred twenty-two thousand, one hundred one".