10100123133137 has 2 divisors, whose sum is σ = 10100123133138. Its totient is φ = 10100123133136.

The previous prime is 10100123133071. The next prime is 10100123133143. The reversal of 10100123133137 is 73133132100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5791526220481 + 4308596912656 = 2406559^2 + 2075716^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100123133137 - 2³⁸ = 9825245226193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100143133137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061566568 + 5050061566569.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061566569).

Almost surely, 2^{10100123133137} is an apocalyptic number.

It is an amenable number.

10100123133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100123133137 is an equidigital number, since it uses as much as digits as its factorization.

10100123133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 10100123133137 its reverse (73133132100101), we get a palindrome (83233255233238).

The spelling of 10100123133137 in words is "ten trillion, one hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-seven".