100201020083617 has 2 divisors, whose sum is σ = 100201020083618. Its totient is φ = 100201020083616.

The previous prime is 100201020083587. The next prime is 100201020083621. The reversal of 100201020083617 is 716380020102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74797313319936 + 25403706763681 = 8648544^2 + 5040209^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201020083617 - 2¹⁵ = 100201020050849 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201020083917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100510041808 + 50100510041809.

It is an arithmetic number, because the mean of its divisors is an integer number (50100510041809).

Almost surely, 2^{100201020083617} is an apocalyptic number.

It is an amenable number.

100201020083617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201020083617 is an equidigital number, since it uses as much as digits as its factorization.

100201020083617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 100201020083617 its reverse (716380020102001), we get a palindrome (816581040185618).

The spelling of 100201020083617 in words is "one hundred trillion, two hundred one billion, twenty million, eighty-three thousand, six hundred seventeen".