12100121101101 has 16 divisors (see below), whose sum is σ = 18365401198080. Its totient is φ = 7014562956720.

The previous prime is 12100121101091. The next prime is 12100121101127. The reversal of 12100121101101 is 10110112100121.

It is not a de Polignac number, because 12100121101101 - 2⁶ = 12100121101037 is a prime.

It is a super-2 number, since 2×12100121101101² (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 (12100121101301) 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, 7971093511 + ... + 7971095028.

It is an arithmetic number, because the mean of its divisors is an integer number (1147837574880).

Almost surely, 2^{12100121101101} is an apocalyptic number.

12100121101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100121101101 is a deficient number, since it is larger than the sum of its proper divisors (6265280096979).

12100121101101 is a wasteful number, since it uses less digits than its factorization.

12100121101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15942188576.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12100121101101 its reverse (10110112100121), we get a palindrome (22210233201222).

It can be divided in two parts, 12100121 and 101101, that multiplied together give a palindrome (1223334333221).

The spelling of 12100121101101 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, one hundred one".