101321137 has 2 divisors, whose sum is σ = 101321138. Its totient is φ = 101321136.

The previous prime is 101321117. The next prime is 101321159. The reversal of 101321137 is 731123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 32364721 = 8304^2 + 5689^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321137 - 2¹¹ = 101319089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101321117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660568 + 50660569.

It is an arithmetic number, because the mean of its divisors is an integer number (50660569).

Almost surely, 2^101321137 is an apocalyptic number.

It is an amenable number.

101321137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321137 is an equidigital number, since it uses as much as digits as its factorization.

101321137 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 101321137 is about 10065.8401040350. The cubic root of 101321137 is about 466.1940054993.

Adding to 101321137 its reverse (731123101), we get a palindrome (832444238).

The spelling of 101321137 in words is "one hundred one million, three hundred twenty-one thousand, one hundred thirty-seven".