101538803417633 has 2 divisors, whose sum is σ = 101538803417634. Its totient is φ = 101538803417632.

The previous prime is 101538803417621. The next prime is 101538803417707. The reversal of 101538803417633 is 336714308835101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55641335513344 + 45897467904289 = 7459312^2 + 6774767^2 .

It is a cyclic number.

It is not a de Polignac number, because 101538803417633 - 2¹⁶ = 101538803352097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101538803447633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50769401708816 + 50769401708817.

It is an arithmetic number, because the mean of its divisors is an integer number (50769401708817).

Almost surely, 2^{101538803417633} is an apocalyptic number.

It is an amenable number.

101538803417633 is a deficient number, since it is larger than the sum of its proper divisors (1).

101538803417633 is an equidigital number, since it uses as much as digits as its factorization.

101538803417633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 101538803417633 in words is "one hundred one trillion, five hundred thirty-eight billion, eight hundred three million, four hundred seventeen thousand, six hundred thirty-three".