2110010211101 has 16 divisors (see below), whose sum is σ = 2320539819696. Its totient is φ = 1906539088896.

The previous prime is 2110010211097. The next prime is 2110010211103. The reversal of 2110010211101 is 1011120100112.

It can be written as a sum of positive squares in 8 ways, for example, as 863719303225 + 1246290907876 = 929365^2 + 1116374^2 .

It is not a de Polignac number, because 2110010211101 - 2² = 2110010211097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110010211103) 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 15 ways as a sum of consecutive naturals, for example, 3237950 + ... + 3834623.

It is an arithmetic number, because the mean of its divisors is an integer number (145033738731).

Almost surely, 2^{2110010211101} is an apocalyptic number.

It is an amenable number.

2110010211101 is a deficient number, since it is larger than the sum of its proper divisors (210529608595).

2110010211101 is a wasteful number, since it uses less digits than its factorization.

2110010211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073072.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110010211101 its reverse (1011120100112), we get a palindrome (3121130311213).

The spelling of 2110010211101 in words is "two trillion, one hundred ten billion, ten million, two hundred eleven thousand, one hundred one".