12100122102101 has 16 divisors (see below), whose sum is σ = 13294151101440. Its totient is φ = 10921895230320.

The previous prime is 12100122102077. The next prime is 12100122102149. The reversal of 12100122102101 is 10120122100121.

It is a cyclic number.

It is not a de Polignac number, because 12100122102101 - 2¹⁰ = 12100122101077 is a prime.

It is a super-2 number, since 2×12100122102101² (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 (12100122108101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484285 + ... + 5138418.

It is an arithmetic number, because the mean of its divisors is an integer number (830884443840).

Almost surely, 2^{12100122102101} is an apocalyptic number.

12100122102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100122102101 is a deficient number, since it is larger than the sum of its proper divisors (1194028999339).

12100122102101 is a wasteful number, since it uses less digits than its factorization.

12100122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623896.

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

Adding to 12100122102101 its reverse (10120122100121), we get a palindrome (22220244202222).

The spelling of 12100122102101 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, one hundred one".