10101137 has 2 divisors, whose sum is σ = 10101138. Its totient is φ = 10101136.

The previous prime is 10101109. The next prime is 10101167. The reversal of 10101137 is 73110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10086976 + 14161 = 3176^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101137 - 2¹⁰ = 10100113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050568 + 5050569.

It is an arithmetic number, because the mean of its divisors is an integer number (5050569).

Almost surely, 2^10101137 is an apocalyptic number.

It is an amenable number.

10101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101137 is an equidigital number, since it uses as much as digits as its factorization.

10101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 10101137 is about 3178.2285946735. The cubic root of 10101137 is about 216.1673443119.

Adding to 10101137 its reverse (73110101), we get a palindrome (83211238).

It can be divided in two parts, 1010 and 1137, that multiplied together give a triangular number (1148370 = T₁₅₁₅).

The spelling of 10101137 in words is "ten million, one hundred one thousand, one hundred thirty-seven".