12100001838291 has 16 divisors (see below), whose sum is σ = 17926196053120. Its totient is φ = 8066547560520.

The previous prime is 12100001838277. The next prime is 12100001838343. The reversal of 12100001838291 is 19283810000121.

It is a happy number.

It is not a de Polignac number, because 12100001838291 - 2⁶ = 12100001838227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100001838251) 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, 1480165 + ... + 5137206.

It is an arithmetic number, because the mean of its divisors is an integer number (1120387253320).

Almost surely, 2^{12100001838291} is an apocalyptic number.

12100001838291 is a deficient number, since it is larger than the sum of its proper divisors (5826194214829).

12100001838291 is an equidigital number, since it uses as much as digits as its factorization.

12100001838291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685103 (or 6685097 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12100001838291 in words is "twelve trillion, one hundred billion, one million, eight hundred thirty-eight thousand, two hundred ninety-one".