12010100101001 has 8 divisors (see below), whose sum is σ = 12031053334344. Its totient is φ = 11989160864640.

The previous prime is 12010100100979. The next prime is 12010100101009. The reversal of 12010100101001 is 10010100101021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3664356891001 + 8345743210000 = 1914251^2 + 2888900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12010100101001 - 2⁶ = 12010100100937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010100101001.

It is not an unprimeable number, because it can be changed into a prime (12010100101009) 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 7 ways as a sum of consecutive naturals, for example, 1780916 + ... + 5214581.

It is an arithmetic number, because the mean of its divisors is an integer number (1503881666793).

Almost surely, 2^{12010100101001} is an apocalyptic number.

It is an amenable number.

12010100101001 is a deficient number, since it is larger than the sum of its proper divisors (20953233343).

12010100101001 is an equidigital number, since it uses as much as digits as its factorization.

12010100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998491.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12010100101001 its reverse (10010100101021), we get a palindrome (22020200202022).

The spelling of 12010100101001 in words is "twelve trillion, ten billion, one hundred million, one hundred one thousand, one".