102112221105 has 20 divisors (see below), whose sum is σ = 183045611892. Its totient is φ = 54459851040.

The previous prime is 102112221089. The next prime is 102112221149. The reversal of 102112221105 is 501122211201.

It can be written as a sum of positive squares in 2 ways, for example, as 18815334561 + 83296886544 = 137169^2 + 288612^2 .

It is not a de Polignac number, because 102112221105 - 2⁴ = 102112221089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126064066 + ... + 126064875.

Almost surely, 2^102112221105 is an apocalyptic number.

102112221105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102112221105 is a deficient number, since it is larger than the sum of its proper divisors (80933390787).

102112221105 is an equidigital number, since it uses as much as digits as its factorization.

102112221105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252128958 (or 252128949 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 102112221105 its reverse (501122211201), we get a palindrome (603234432306).

The spelling of 102112221105 in words is "one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred five".