85202101 has 2 divisors, whose sum is σ = 85202102. Its totient is φ = 85202100.

The previous prime is 85202063. The next prime is 85202107. The reversal of 85202101 is 10120258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83283876 + 1918225 = 9126^2 + 1385^2 .

It is a cyclic number.

It is not a de Polignac number, because 85202101 - 2¹⁵ = 85169333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42601050 + 42601051.

It is an arithmetic number, because the mean of its divisors is an integer number (42601051).

Almost surely, 2^85202101 is an apocalyptic number.

It is an amenable number.

85202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85202101 is an equidigital number, since it uses as much as digits as its factorization.

85202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 85202101 is about 9230.4984155787. The cubic root of 85202101 is about 440.0311634264.

Adding to 85202101 its reverse (10120258), we get a palindrome (95322359).

The spelling of 85202101 in words is "eighty-five million, two hundred two thousand, one hundred one".