12100001001 has 16 divisors (see below), whose sum is σ = 17635296000. Its totient is φ = 7318627920.

The previous prime is 12100000987. The next prime is 12100001029. The reversal of 12100001001 is 10010000121.

It is not a de Polignac number, because 12100001001 - 2¹⁵ = 12099968233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100001041) 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, 350935 + ... + 383868.

It is an arithmetic number, because the mean of its divisors is an integer number (1102206000).

Almost surely, 2^12100001001 is an apocalyptic number.

12100001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100001001 is a deficient number, since it is larger than the sum of its proper divisors (5535294999).

12100001001 is a wasteful number, since it uses less digits than its factorization.

12100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735316.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12100001001 its reverse (10010000121), we get a palindrome (22110001122).

The spelling of 12100001001 in words is "twelve billion, one hundred million, one thousand, one".