2102011101 has 32 divisors (see below), whose sum is σ = 3267613440. Its totient is φ = 1332936000.

The previous prime is 2102011073. The next prime is 2102011103. The reversal of 2102011101 is 1011102012.

It is a happy number.

It is not a de Polignac number, because 2102011101 - 2¹⁰ = 2102010077 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103051 + ... + 121751.

It is an arithmetic number, because the mean of its divisors is an integer number (102112920).

Almost surely, 2^2102011101 is an apocalyptic number.

It is an amenable number.

2102011101 is a deficient number, since it is larger than the sum of its proper divisors (1165602339).

2102011101 is a wasteful number, since it uses less digits than its factorization.

2102011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2102011101 is about 45847.6946094348. The cubic root of 2102011101 is about 1280.9878240922.

Adding to 2102011101 its reverse (1011102012), we get a palindrome (3113113113).

The spelling of 2102011101 in words is "two billion, one hundred two million, eleven thousand, one hundred one".