2110112001001 has 12 divisors (see below), whose sum is σ = 2241608550412. Its totient is φ = 1985924959488.

The previous prime is 2110112000959. The next prime is 2110112001007. The reversal of 2110112001001 is 1001002110112.

It can be written as a sum of positive squares in 6 ways, for example, as 316518760000 + 1793593241001 = 562600^2 + 1339251^2 .

It is not a de Polignac number, because 2110112001001 - 2³⁹ = 1560356187113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110112001007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10831411 + ... + 11024503.

Almost surely, 2^{2110112001001} is an apocalyptic number.

It is an amenable number.

2110112001001 is a deficient number, since it is larger than the sum of its proper divisors (131496549411).

2110112001001 is a wasteful number, since it uses less digits than its factorization.

2110112001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230940 (or 230923 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110112001001 its reverse (1001002110112), we get a palindrome (3111114111113).

The spelling of 2110112001001 in words is "two trillion, one hundred ten billion, one hundred twelve million, one thousand, one".