12011001002121 has 64 divisors (see below), whose sum is σ = 19193917593600. Its totient is φ = 6594959078400.

The previous prime is 12011001002081. The next prime is 12011001002137. The reversal of 12011001002121 is 12120010011021.

12011001002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12011001002121 - 2⁹ = 12011001001609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011001002097 and 12011001002106.

It is not an unprimeable number, because it can be changed into a prime (12011001002321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4269820 + ... + 6500258.

It is an arithmetic number, because the mean of its divisors is an integer number (299904962400).

Almost surely, 2^{12011001002121} is an apocalyptic number.

12011001002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011001002121 is a deficient number, since it is larger than the sum of its proper divisors (7182916591479).

12011001002121 is a wasteful number, since it uses less digits than its factorization.

12011001002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230830.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011001002121 its reverse (12120010011021), we get a palindrome (24131011013142).

The spelling of 12011001002121 in words is "twelve trillion, eleven billion, one million, two thousand, one hundred twenty-one".