102086001081 has 45 divisors (see below), whose sum is σ = 154240987989. Its totient is φ = 67288595400.

The previous prime is 102086001067. The next prime is 102086001089. The reversal of 102086001081 is 180100680201.

The square root of 102086001081 is 319509.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 102086001081 - 2⁷ = 102086000953 is a prime.

It is a super-2 number, since 2×102086001081² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102086001089) 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 44 ways as a sum of consecutive naturals, for example, 376700976 + ... + 376701246.

Almost surely, 2^102086001081 is an apocalyptic number.

102086001081 is the 319509-th square number.

102086001081 is the 159755-th centered octagonal number.

It is an amenable number.

102086001081 is a deficient number, since it is larger than the sum of its proper divisors (52154986908).

102086001081 is an frugal number, since it uses more digits than its factorization.

102086001081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 102086001081 its reverse (180100680201), we get a palindrome (282186681282).

The spelling of 102086001081 in words is "one hundred two billion, eighty-six million, one thousand, eighty-one".