12101111012001 has 128 divisors (see below), whose sum is σ = 19315620864000. Its totient is φ = 6656554598400.

The previous prime is 12101111011991. The next prime is 12101111012021. The reversal of 12101111012001 is 10021011110121.

It is not a de Polignac number, because 12101111012001 - 2³⁷ = 11963672058529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101111012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1435307256 + ... + 1435315686.

It is an arithmetic number, because the mean of its divisors is an integer number (150903288000).

Almost surely, 2^{12101111012001} is an apocalyptic number.

12101111012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101111012001 is a deficient number, since it is larger than the sum of its proper divisors (7214509851999).

12101111012001 is a wasteful number, since it uses less digits than its factorization.

12101111012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095.

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

Adding to 12101111012001 its reverse (10021011110121), we get a palindrome (22122122122122).

The spelling of 12101111012001 in words is "twelve trillion, one hundred one billion, one hundred eleven million, twelve thousand, one".