98100201117953 has 2 divisors, whose sum is σ = 98100201117954. Its totient is φ = 98100201117952.

The previous prime is 98100201117851. The next prime is 98100201117991. The reversal of 98100201117953 is 35971110200189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98086185399409 + 14015718544 = 9903847^2 + 118388^2 .

It is an emirp because it is prime and its reverse (35971110200189) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 98100201117953 - 2¹⁴ = 98100201101569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 98100201117898 and 98100201117907.

It is not a weakly prime, because it can be changed into another prime (98100201119953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49050100558976 + 49050100558977.

It is an arithmetic number, because the mean of its divisors is an integer number (49050100558977).

Almost surely, 2^{98100201117953} is an apocalyptic number.

It is an amenable number.

98100201117953 is a deficient number, since it is larger than the sum of its proper divisors (1).

98100201117953 is an equidigital number, since it uses as much as digits as its factorization.

98100201117953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 47.

The spelling of 98100201117953 in words is "ninety-eight trillion, one hundred billion, two hundred one million, one hundred seventeen thousand, nine hundred fifty-three".