102112102102210 has 16 divisors (see below), whose sum is σ = 183887632390392. Its totient is φ = 40825763372800.

The previous prime is 102112102102207. The next prime is 102112102102217. The reversal of 102112102102210 is 12201201211201.

It can be written as a sum of positive squares in 4 ways, for example, as 73173157165161 + 28938944937049 = 8554131^2 + 5379493^2 .

It is a super-3 number, since 3×102112102102210³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112102102217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384661031 + ... + 2384703850.

Almost surely, 2^{102112102102210} is an apocalyptic number.

102112102102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112102102210 is a deficient number, since it is larger than the sum of its proper divisors (81775530288182).

102112102102210 is a wasteful number, since it uses less digits than its factorization.

102112102102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769367029.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112102102210 its reverse (12201201211201), we get a palindrome (114313303313411).

The spelling of 102112102102210 in words is "one hundred two trillion, one hundred twelve billion, one hundred two million, one hundred two thousand, two hundred ten".