102112200101005 has 8 divisors (see below), whose sum is σ = 122534694768024. Its totient is φ = 81689723649600.

The previous prime is 102112200100987. The next prime is 102112200101017. The reversal of 102112200101005 is 500101002211201.

It can be written as a sum of positive squares in 4 ways, for example, as 8986361171076 + 93125838929929 = 2997726^2 + 9650173^2 .

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

It is not a de Polignac number, because 102112200101005 - 2⁵ = 102112200100973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102112200101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17402875 + ... + 22518535.

It is an arithmetic number, because the mean of its divisors is an integer number (15316836846003).

Almost surely, 2^{102112200101005} is an apocalyptic number.

It is an amenable number.

102112200101005 is a deficient number, since it is larger than the sum of its proper divisors (20422494667019).

102112200101005 is an equidigital number, since it uses as much as digits as its factorization.

102112200101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107807.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 102112200101005 its reverse (500101002211201), we get a palindrome (602213202312206).

The spelling of 102112200101005 in words is "one hundred two trillion, one hundred twelve billion, two hundred million, one hundred one thousand, five".