12100010000001 has 48 divisors (see below), whose sum is σ = 21228668264448. Its totient is φ = 5954892098400.

The previous prime is 12100009999981. The next prime is 12100010000017. The reversal of 12100010000001 is 10000001000121.

It is not a de Polignac number, because 12100010000001 - 2⁶ = 12100009999937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12100010000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72466465 + ... + 72633246.

It is an arithmetic number, because the mean of its divisors is an integer number (442263922176).

Almost surely, 2^{12100010000001} is an apocalyptic number.

12100010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100010000001 is a deficient number, since it is larger than the sum of its proper divisors (9128658264447).

12100010000001 is a wasteful number, since it uses less digits than its factorization.

12100010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145099770 (or 145099751 counting only the distinct ones).

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

Adding to 12100010000001 its reverse (10000001000121), we get a palindrome (22100011000122).

The spelling of 12100010000001 in words is "twelve trillion, one hundred billion, ten million, one", and thus it is an aban number.