2110011122101 has 4 divisors (see below), whose sum is σ = 2110032702604. Its totient is φ = 2109989541600.

The previous prime is 2110011122081. The next prime is 2110011122111. The reversal of 2110011122101 is 1012211100112.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1033343406225 + 1076667715876 = 1016535^2 + 1037626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110011122101 - 2²⁹ = 2109474251189 is a prime.

It is a super-2 number, since 2×2110011122101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110011122111) 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 3 ways as a sum of consecutive naturals, for example, 10642920 + ... + 10839361.

It is an arithmetic number, because the mean of its divisors is an integer number (527508175651).

Almost surely, 2^{2110011122101} is an apocalyptic number.

It is an amenable number.

2110011122101 is a deficient number, since it is larger than the sum of its proper divisors (21580503).

2110011122101 is an equidigital number, since it uses as much as digits as its factorization.

2110011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21580502.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110011122101 its reverse (1012211100112), we get a palindrome (3122222222213).

The spelling of 2110011122101 in words is "two trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand, one hundred one".