2110002011001 has 48 divisors (see below), whose sum is σ = 3297028460544. Its totient is φ = 1295504243712.

The previous prime is 2110002010981. The next prime is 2110002011011. The reversal of 2110002011001 is 1001102000112.

It is a happy number.

It is not a de Polignac number, because 2110002011001 - 2⁶ = 2110002010937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2110002011011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674700 + ... + 2162226.

It is an arithmetic number, because the mean of its divisors is an integer number (68688092928).

Almost surely, 2^{2110002011001} is an apocalyptic number.

It is an amenable number.

2110002011001 is a deficient number, since it is larger than the sum of its proper divisors (1187026449543).

2110002011001 is a wasteful number, since it uses less digits than its factorization.

2110002011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487750 (or 1487747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110002011001 its reverse (1001102000112), we get a palindrome (3111104011113).

The spelling of 2110002011001 in words is "two trillion, one hundred ten billion, two million, eleven thousand, one".