12002101122121 has 32 divisors (see below), whose sum is σ = 13532778230400. Its totient is φ = 10549979758080.

The previous prime is 12002101122119. The next prime is 12002101122211. The reversal of 12002101122121 is 12122110120021.

It is not a de Polignac number, because 12002101122121 - 2¹ = 12002101122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002101122095 and 12002101122104.

It is not an unprimeable number, because it can be changed into a prime (12002101122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57484965 + ... + 57693373.

It is an arithmetic number, because the mean of its divisors is an integer number (422899319700).

Almost surely, 2^{12002101122121} is an apocalyptic number.

12002101122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002101122121 is a deficient number, since it is larger than the sum of its proper divisors (1530677108279).

12002101122121 is a wasteful number, since it uses less digits than its factorization.

12002101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209689.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12002101122121 its reverse (12122110120021), we get a palindrome (24124211242142).

The spelling of 12002101122121 in words is "twelve trillion, two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".