12100011022001 has 6 divisors (see below), whose sum is σ = 14075523025650. Its totient is φ = 10371438018816.

The previous prime is 12100011021971. The next prime is 12100011022037. The reversal of 12100011022001 is 10022011000121.

It can be written as a sum of positive squares in only one way, i.e., 12013162932001 + 86848090000 = 3466001^2 + 294700^2 .

It is not a de Polignac number, because 12100011022001 - 2⁶ = 12100011021937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100011022601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123469500176 + ... + 123469500273.

It is an arithmetic number, because the mean of its divisors is an integer number (2345920504275).

Almost surely, 2^{12100011022001} is an apocalyptic number.

It is an amenable number.

12100011022001 is a deficient number, since it is larger than the sum of its proper divisors (1975512003649).

12100011022001 is an equidigital number, since it uses as much as digits as its factorization.

12100011022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246939000463 (or 246939000456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100011022001 its reverse (10022011000121), we get a palindrome (22122022022122).

The spelling of 12100011022001 in words is "twelve trillion, one hundred billion, eleven million, twenty-two thousand, one".