101123137 has 2 divisors, whose sum is σ = 101123138. Its totient is φ = 101123136.

The previous prime is 101123129. The next prime is 101123159. The reversal of 101123137 is 731321101.

It is a Cunningham number, because it is equal to 10056²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101123136 + 1 = 10056^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123137 - 2³ = 101123129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101123117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561568 + 50561569.

It is an arithmetic number, because the mean of its divisors is an integer number (50561569).

Almost surely, 2^101123137 is an apocalyptic number.

It is an amenable number.

101123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123137 is an equidigital number, since it uses as much as digits as its factorization.

101123137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 101123137 is about 10056.0000497216. Note that the first 4 decimals coincide. The cubic root of 101123137 is about 465.8901314046.

Adding to 101123137 its reverse (731321101), we get a palindrome (832444238).

The spelling of 101123137 in words is "one hundred one million, one hundred twenty-three thousand, one hundred thirty-seven".