2110011100101 has 8 divisors (see below), whose sum is σ = 3125942370560. Its totient is φ = 1406674066716.

The previous prime is 2110011100091. The next prime is 2110011100117. The reversal of 2110011100101 is 1010011100112.

It is not a de Polignac number, because 2110011100101 - 2⁹ = 2110011099589 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110011100201) 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 7 ways as a sum of consecutive naturals, for example, 39074279605 + ... + 39074279658.

It is an arithmetic number, because the mean of its divisors is an integer number (390742796320).

Almost surely, 2^{2110011100101} is an apocalyptic number.

It is an amenable number.

2110011100101 is a deficient number, since it is larger than the sum of its proper divisors (1015931270459).

2110011100101 is an equidigital number, since it uses as much as digits as its factorization.

2110011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78148559272 (or 78148559266 counting only the distinct ones).

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

Adding to 2110011100101 its reverse (1010011100112), we get a palindrome (3120022200213).

The spelling of 2110011100101 in words is "two trillion, one hundred ten billion, eleven million, one hundred thousand, one hundred one".