2131112101 has 2 divisors, whose sum is σ = 2131112102. Its totient is φ = 2131112100.

The previous prime is 2131112099. The next prime is 2131112147. The reversal of 2131112101 is 1012111312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2012868225 + 118243876 = 44865^2 + 10874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131112101 - 2¹ = 2131112099 is a prime.

Together with 2131112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131119101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065556050 + 1065556051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065556051).

Almost surely, 2^2131112101 is an apocalyptic number.

It is an amenable number.

2131112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131112101 is an equidigital number, since it uses as much as digits as its factorization.

2131112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2131112101 is about 46163.9697274834. The cubic root of 2131112101 is about 1286.8722376029.

Adding to 2131112101 its reverse (1012111312), we get a palindrome (3143223413).

The spelling of 2131112101 in words is "two billion, one hundred thirty-one million, one hundred twelve thousand, one hundred one".