102010560201 has 36 divisors (see below), whose sum is σ = 162261981700. Its totient is φ = 61709947200.

The previous prime is 102010560193. The next prime is 102010560217. The reversal of 102010560201 is 102065010201.

102010560201 is a `hidden beast` number, since 102 + 0 + 1 + 0 + 560 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44215996176 + 57794564025 = 210276^2 + 240405^2 .

It is not a de Polignac number, because 102010560201 - 2³ = 102010560193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010560271) 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 35 ways as a sum of consecutive naturals, for example, 502575 + ... + 675723.

Almost surely, 2^102010560201 is an apocalyptic number.

102010560201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102010560201 is a deficient number, since it is larger than the sum of its proper divisors (60251421499).

102010560201 is a wasteful number, since it uses less digits than its factorization.

102010560201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173718 (or 173704 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102010560201 its reverse (102065010201), we get a palindrome (204075570402).

The spelling of 102010560201 in words is "one hundred two billion, ten million, five hundred sixty thousand, two hundred one".