10110111002001 has 6 divisors (see below), whose sum is σ = 14603493669570. Its totient is φ = 6740074001328.

The previous prime is 10110111001933. The next prime is 10110111002021. The reversal of 10110111002001 is 10020011101101.

It can be written as a sum of positive squares in only one way, i.e., 6168393140625 + 3941717861376 = 2483625^2 + 1985376^2 .

It is not a de Polignac number, because 10110111002001 - 2⁷ = 10110111001873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1123345666889 = 10110111002001 / (1 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10110111002021) 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, 561672833436 + ... + 561672833453.

It is an arithmetic number, because the mean of its divisors is an integer number (2433915611595).

Almost surely, 2^{10110111002001} is an apocalyptic number.

It is an amenable number.

10110111002001 is a deficient number, since it is larger than the sum of its proper divisors (4493382667569).

10110111002001 is a wasteful number, since it uses less digits than its factorization.

10110111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123345666895 (or 1123345666892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110111002001 its reverse (10020011101101), we get a palindrome (20130122103102).

The spelling of 10110111002001 in words is "ten trillion, one hundred ten billion, one hundred eleven million, two thousand, one".