10110001200001 has 8 divisors (see below), whose sum is σ = 10166390170664. Its totient is φ = 10053618082560.

The previous prime is 10110001199953. The next prime is 10110001200007. The reversal of 10110001200001 is 10000210001101.

10110001200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1287907219600 + 8822093980401 = 1134860^2 + 2970201^2 .

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 10110001200001 - 2³³ = 10101411265409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110001200007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2023945 + ... + 4931161.

It is an arithmetic number, because the mean of its divisors is an integer number (1270798771333).

Almost surely, 2^{10110001200001} is an apocalyptic number.

It is an amenable number.

10110001200001 is a deficient number, since it is larger than the sum of its proper divisors (56388970663).

10110001200001 is a wasteful number, since it uses less digits than its factorization.

10110001200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926611.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10110001200001 its reverse (10000210001101), we get a palindrome (20110211201102).

The spelling of 10110001200001 in words is "ten trillion, one hundred ten billion, one million, two hundred thousand, one".