101102137 has 2 divisors, whose sum is σ = 101102138. Its totient is φ = 101102136.

The previous prime is 101102107. The next prime is 101102147. The reversal of 101102137 is 731201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100080016 + 1022121 = 10004^2 + 1011^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102137 - 2¹¹ = 101100089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102137.

It is not a weakly prime, because it can be changed into another prime (101102107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551068 + 50551069.

It is an arithmetic number, because the mean of its divisors is an integer number (50551069).

Almost surely, 2^101102137 is an apocalyptic number.

It is an amenable number.

101102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102137 is an equidigital number, since it uses as much as digits as its factorization.

101102137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101102137 is about 10054.9558427673. The cubic root of 101102137 is about 465.8578790755.

Adding to 101102137 its reverse (731201101), we get a palindrome (832303238).

The spelling of 101102137 in words is "one hundred one million, one hundred two thousand, one hundred thirty-seven".