83201020101 has 16 divisors (see below), whose sum is σ = 130511404800. Its totient is φ = 52204561344.

The previous prime is 83201020087. The next prime is 83201020127. The reversal of 83201020101 is 10102010238.

It is not a de Polignac number, because 83201020101 - 2¹¹ = 83201018053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83201020151) 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 in 15 ways as a sum of consecutive naturals, for example, 90632461 + ... + 90633378.

It is an arithmetic number, because the mean of its divisors is an integer number (8156962800).

Almost surely, 2^83201020101 is an apocalyptic number.

It is an amenable number.

83201020101 is a deficient number, since it is larger than the sum of its proper divisors (47310384699).

83201020101 is a wasteful number, since it uses less digits than its factorization.

83201020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181265865 (or 181265859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 83201020101 its reverse (10102010238), we get a palindrome (93303030339).

The spelling of 83201020101 in words is "eighty-three billion, two hundred one million, twenty thousand, one hundred one".