12100121011121 has 16 divisors (see below), whose sum is σ = 14217404197248. Its totient is φ = 10152606691200.

The previous prime is 12100121011117. The next prime is 12100121011129. The reversal of 12100121011121 is 12111012100121.

It is a cyclic number.

It is not a de Polignac number, because 12100121011121 - 2² = 12100121011117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100121011096 and 12100121011105.

It is not an unprimeable number, because it can be changed into a prime (12100121011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500245 + ... + 6667266.

It is an arithmetic number, because the mean of its divisors is an integer number (888587762328).

Almost surely, 2^{12100121011121} is an apocalyptic number.

12100121011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100121011121 is a deficient number, since it is larger than the sum of its proper divisors (2117283186127).

12100121011121 is a wasteful number, since it uses less digits than its factorization.

12100121011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175112.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12100121011121 its reverse (12111012100121), we get a palindrome (24211133111242).

The spelling of 12100121011121 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, eleven thousand, one hundred twenty-one".