12100012001 has 16 divisors (see below), whose sum is σ = 15134266368. Its totient is φ = 9398245200.

The previous prime is 12100011983. The next prime is 12100012007. The reversal of 12100012001 is 10021000121.

It is a cyclic number.

It is not a de Polignac number, because 12100012001 - 2²⁶ = 12032903137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12100012001.

It is not an unprimeable number, because it can be changed into a prime (12100012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228695 + ... + 276588.

It is an arithmetic number, because the mean of its divisors is an integer number (945891648).

Almost surely, 2^12100012001 is an apocalyptic number.

12100012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100012001 is a deficient number, since it is larger than the sum of its proper divisors (3034254367).

12100012001 is a wasteful number, since it uses less digits than its factorization.

12100012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505612.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100012001 its reverse (10021000121), we get a palindrome (22121012122).

The spelling of 12100012001 in words is "twelve billion, one hundred million, twelve thousand, one".