2102110101 has 24 divisors (see below), whose sum is σ = 3737086080. Its totient is φ = 1108804896.

The previous prime is 2102110099. The next prime is 2102110121. The reversal of 2102110101 is 1010112012.

It is a happy number.

It is not a de Polignac number, because 2102110101 - 2¹ = 2102110099 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 (2102110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282521 + ... + 1284158.

It is an arithmetic number, because the mean of its divisors is an integer number (155711920).

Almost surely, 2^2102110101 is an apocalyptic number.

2102110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102110101 is a deficient number, since it is larger than the sum of its proper divisors (1634975979).

2102110101 is a wasteful number, since it uses less digits than its factorization.

2102110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566705 (or 2566702 counting only the distinct ones).

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

The square root of 2102110101 is about 45848.7742584248. The cubic root of 2102110101 is about 1281.0079343259.

Adding to 2102110101 its reverse (1010112012), we get a palindrome (3112222113).

The spelling of 2102110101 in words is "two billion, one hundred two million, one hundred ten thousand, one hundred one".