2101101137 has 2 divisors, whose sum is σ = 2101101138. Its totient is φ = 2101101136.

The previous prime is 2101101109. The next prime is 2101101139. The reversal of 2101101137 is 7311011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1369074001 + 732027136 = 37001^2 + 27056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101101137 is a prime.

Together with 2101101139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2101101139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550568 + 1050550569.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550569).

Almost surely, 2^2101101137 is an apocalyptic number.

It is an amenable number.

2101101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101137 is an equidigital number, since it uses as much as digits as its factorization.

2101101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 2101101137 is about 45837.7697646821. The cubic root of 2101101137 is about 1280.8029501796.

Adding to 2101101137 its reverse (7311011012), we get a palindrome (9412112149).

The spelling of 2101101137 in words is "two billion, one hundred one million, one hundred one thousand, one hundred thirty-seven".