102220002112005 has 24 divisors (see below), whose sum is σ = 177182515938168. Its totient is φ = 54516971707776.

The previous prime is 102220002111961. The next prime is 102220002112069. The reversal of 102220002112005 is 500211200022201.

It can be written as a sum of positive squares in 4 ways, for example, as 106026430689 + 102113975681316 = 325617^2 + 10105146^2 .

It is not a de Polignac number, because 102220002112005 - 2¹⁶ = 102220002046469 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649842 + ... + 14313011.

It is an arithmetic number, because the mean of its divisors is an integer number (7382604830757).

Almost surely, 2^{102220002112005} is an apocalyptic number.

102220002112005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102220002112005 is a deficient number, since it is larger than the sum of its proper divisors (74962513826163).

102220002112005 is a wasteful number, since it uses less digits than its factorization.

102220002112005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15114677 (or 15114674 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102220002112005 its reverse (500211200022201), we get a palindrome (602431202134206).

The spelling of 102220002112005 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred twelve thousand, five".