2110002012001 has 32 divisors (see below), whose sum is σ = 2416214979360. Its totient is φ = 1828720717824.

The previous prime is 2110002011969. The next prime is 2110002012007. The reversal of 2110002012001 is 1002102000112.

It can be written as a sum of positive squares in 16 ways, for example, as 677001485601 + 1433000526400 = 822801^2 + 1197080^2 .

It is not a de Polignac number, because 2110002012001 - 2⁵ = 2110002011969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2110002012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790595 + ... + 2725111.

It is an arithmetic number, because the mean of its divisors is an integer number (75506718105).

Almost surely, 2^{2110002012001} is an apocalyptic number.

It is an amenable number.

2110002012001 is a deficient number, since it is larger than the sum of its proper divisors (306212967359).

2110002012001 is a wasteful number, since it uses less digits than its factorization.

2110002012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934725.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110002012001 its reverse (1002102000112), we get a palindrome (3112104012113).

The spelling of 2110002012001 in words is "two trillion, one hundred ten billion, two million, twelve thousand, one".