2102113101 has 32 divisors (see below), whose sum is σ = 3101890176. Its totient is φ = 1255680000.

The previous prime is 2102113099. The next prime is 2102113103. The reversal of 2102113101 is 1013112012.

It is an interprime number because it is at equal distance from previous prime (2102113099) and next prime (2102113103).

It is not a de Polignac number, because 2102113101 - 2¹ = 2102113099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102113103) 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 31 ways as a sum of consecutive naturals, for example, 801945 + ... + 804561.

It is an arithmetic number, because the mean of its divisors is an integer number (96934068).

Almost surely, 2^2102113101 is an apocalyptic number.

It is an amenable number.

2102113101 is a deficient number, since it is larger than the sum of its proper divisors (999777075).

2102113101 is a wasteful number, since it uses less digits than its factorization.

2102113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2102113101 is about 45848.8069746640. The cubic root of 2102113101 is about 1281.0085437171.

Adding to 2102113101 its reverse (1013112012), we get a palindrome (3115225113).

It can be divided in two parts, 210211 and 3101, that added together give a palindrome (213312).

The spelling of 2102113101 in words is "two billion, one hundred two million, one hundred thirteen thousand, one hundred one".