101232137 has 2 divisors, whose sum is σ = 101232138. Its totient is φ = 101232136.

The previous prime is 101232121. The next prime is 101232139. The reversal of 101232137 is 731232101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87534736 + 13697401 = 9356^2 + 3701^2 .

It is a cyclic number.

It is not a de Polignac number, because 101232137 - 2⁴ = 101232121 is a prime.

Together with 101232139, 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 (101232139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616068 + 50616069.

It is an arithmetic number, because the mean of its divisors is an integer number (50616069).

Almost surely, 2^101232137 is an apocalyptic number.

It is an amenable number.

101232137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101232137 is an equidigital number, since it uses as much as digits as its factorization.

101232137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 101232137 is about 10061.4182399898. The cubic root of 101232137 is about 466.0574646542.

Adding to 101232137 its reverse (731232101), we get a palindrome (832464238).

The spelling of 101232137 in words is "one hundred one million, two hundred thirty-two thousand, one hundred thirty-seven".