2131111101 has 16 divisors (see below), whose sum is σ = 3248054784. Its totient is φ = 1217535024.

The previous prime is 2131111057. The next prime is 2131111127. The reversal of 2131111101 is 1011111312.

It is not a de Polignac number, because 2131111101 - 2⁹ = 2131110589 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 (2131111001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187750 + ... + 198776.

It is an arithmetic number, because the mean of its divisors is an integer number (203003424).

Almost surely, 2^2131111101 is an apocalyptic number.

2131111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131111101 is a deficient number, since it is larger than the sum of its proper divisors (1116943683).

2131111101 is a wasteful number, since it uses less digits than its factorization.

2131111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20240.

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 2131111101 is about 46163.9588965245. The cubic root of 2131111101 is about 1286.8720363195.

Adding to 2131111101 its reverse (1011111312), we get a palindrome (3142222413).

The spelling of 2131111101 in words is "two billion, one hundred thirty-one million, one hundred eleven thousand, one hundred one".