2110100110101 has 24 divisors (see below), whose sum is σ = 3054875914584. Its totient is φ = 1403524661760.

The previous prime is 2110100110093. The next prime is 2110100110109. The reversal of 2110100110101 is 1010110010112.

It is an interprime number because it is at equal distance from previous prime (2110100110093) and next prime (2110100110109).

It can be written as a sum of positive squares in 4 ways, for example, as 806790186225 + 1303309923876 = 898215^2 + 1141626^2 .

It is not a de Polignac number, because 2110100110101 - 2³ = 2110100110093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100110109) 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, 67277115 + ... + 67308471.

It is an arithmetic number, because the mean of its divisors is an integer number (127286496441).

Almost surely, 2^{2110100110101} is an apocalyptic number.

It is an amenable number.

2110100110101 is a deficient number, since it is larger than the sum of its proper divisors (944775804483).

2110100110101 is a wasteful number, since it uses less digits than its factorization.

2110100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48181 (or 48178 counting only the distinct ones).

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

Adding to 2110100110101 its reverse (1010110010112), we get a palindrome (3120210120213).

The spelling of 2110100110101 in words is "two trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred one".