101137873 has 2 divisors, whose sum is σ = 101137874. Its totient is φ = 101137872.

The previous prime is 101137871. The next prime is 101137891. The reversal of 101137873 is 378731101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81848209 + 19289664 = 9047^2 + 4392^2 .

It is a cyclic number.

It is not a de Polignac number, because 101137873 - 2¹ = 101137871 is a prime.

Together with 101137871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101137871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50568936 + 50568937.

It is an arithmetic number, because the mean of its divisors is an integer number (50568937).

Almost surely, 2^101137873 is an apocalyptic number.

It is an amenable number.

101137873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101137873 is an equidigital number, since it uses as much as digits as its factorization.

101137873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 101137873 is about 10056.7327199245. The cubic root of 101137873 is about 465.9127606589.

Adding to 101137873 its reverse (378731101), we get a palindrome (479868974).

The spelling of 101137873 in words is "one hundred one million, one hundred thirty-seven thousand, eight hundred seventy-three".