2102110020101 has 48 divisors (see below), whose sum is σ = 2769115593600. Its totient is φ = 1557965021184.

The previous prime is 2102110020071. The next prime is 2102110020191. The reversal of 2102110020101 is 1010200112012.

It is not a de Polignac number, because 2102110020101 - 2⁶ = 2102110020037 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 (2102110020191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475045 + ... + 2525861.

It is an arithmetic number, because the mean of its divisors is an integer number (57689908200).

Almost surely, 2^{2102110020101} is an apocalyptic number.

It is an amenable number.

2102110020101 is a deficient number, since it is larger than the sum of its proper divisors (667005573499).

2102110020101 is a wasteful number, since it uses less digits than its factorization.

2102110020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050958 (or 1050945 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102110020101 its reverse (1010200112012), we get a palindrome (3112310132113).

The spelling of 2102110020101 in words is "two trillion, one hundred two billion, one hundred ten million, twenty thousand, one hundred one".