102100418081 has 8 divisors (see below), whose sum is σ = 102374617704. Its totient is φ = 101826587520.

The previous prime is 102100418051. The next prime is 102100418113. The reversal of 102100418081 is 180814001201.

It can be written as a sum of positive squares in 4 ways, for example, as 137710225 + 101962707856 = 11735^2 + 319316^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100418081 - 2³⁴ = 84920548897 is a prime.

It is a super-2 number, since 2×102100418081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102100418081.

It is not an unprimeable number, because it can be changed into a prime (102100418011) 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 7 ways as a sum of consecutive naturals, for example, 466295 + ... + 649331.

It is an arithmetic number, because the mean of its divisors is an integer number (12796827213).

Almost surely, 2^102100418081 is an apocalyptic number.

It is an amenable number.

102100418081 is a deficient number, since it is larger than the sum of its proper divisors (274199623).

102100418081 is an equidigital number, since it uses as much as digits as its factorization.

102100418081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184531.

The product of its (nonzero) digits is 512, while the sum is 26.

Adding to 102100418081 its reverse (180814001201), we get a palindrome (282914419282).

The spelling of 102100418081 in words is "one hundred two billion, one hundred million, four hundred eighteen thousand, eighty-one".