12101001122001 has 16 divisors (see below), whose sum is σ = 17621300026368. Its totient is φ = 7325671803600.

The previous prime is 12101001121973. The next prime is 12101001122009. The reversal of 12101001122001 is 10022110010121.

It is not a de Polignac number, because 12101001122001 - 2⁷ = 12101001121873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101001122009) 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 15 ways as a sum of consecutive naturals, for example, 206677045 + ... + 206735586.

It is an arithmetic number, because the mean of its divisors is an integer number (1101331251648).

Almost surely, 2^{12101001122001} is an apocalyptic number.

12101001122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101001122001 is a deficient number, since it is larger than the sum of its proper divisors (5520298904367).

12101001122001 is a wasteful number, since it uses less digits than its factorization.

12101001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413413532.

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

Adding to 12101001122001 its reverse (10022110010121), we get a palindrome (22123111132122).

The spelling of 12101001122001 in words is "twelve trillion, one hundred one billion, one million, one hundred twenty-two thousand, one".