2110101011001 has 24 divisors (see below), whose sum is σ = 3087152804736. Its totient is φ = 1388655810720.

The previous prime is 2110101010987. The next prime is 2110101011063. The reversal of 2110101011001 is 1001101010112.

It is not a de Polignac number, because 2110101011001 - 2⁶ = 2110101010937 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 (2110101011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227790 + ... + 2066903.

It is an arithmetic number, because the mean of its divisors is an integer number (128631366864).

Almost surely, 2^{2110101011001} is an apocalyptic number.

It is an amenable number.

2110101011001 is a deficient number, since it is larger than the sum of its proper divisors (977051793735).

2110101011001 is a wasteful number, since it uses less digits than its factorization.

2110101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296013 (or 2296010 counting only the distinct ones).

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

Adding to 2110101011001 its reverse (1001101010112), we get a palindrome (3111202021113).

The spelling of 2110101011001 in words is "two trillion, one hundred ten billion, one hundred one million, eleven thousand, one".