100526534724137 has 2 divisors, whose sum is σ = 100526534724138. Its totient is φ = 100526534724136.

The previous prime is 100526534724101. The next prime is 100526534724197. The reversal of 100526534724137 is 731427435625001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93653832055081 + 6872702669056 = 9677491^2 + 2621584^2 .

It is an emirp because it is prime and its reverse (731427435625001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100526534724137 - 2⁶ = 100526534724073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100526534724197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50263267362068 + 50263267362069.

It is an arithmetic number, because the mean of its divisors is an integer number (50263267362069).

Almost surely, 2^{100526534724137} is an apocalyptic number.

It is an amenable number.

100526534724137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100526534724137 is an equidigital number, since it uses as much as digits as its factorization.

100526534724137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 100526534724137 in words is "one hundred trillion, five hundred twenty-six billion, five hundred thirty-four million, seven hundred twenty-four thousand, one hundred thirty-seven".