220102660801 has 9 divisors (see below), whose sum is σ = 223799151459. Its totient is φ = 216466271400.

The previous prime is 220102660793. The next prime is 220102660837. The reversal of 220102660801 is 108066201022.

The square root of 220102660801 is 469151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7157329201 + 212945331600 = 84601^2 + 461460^2 .

It is not a de Polignac number, because 220102660801 - 2³ = 220102660793 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 220102660801.

It is not an unprimeable number, because it can be changed into a prime (220102660601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28614366 + ... + 28622056.

Almost surely, 2^220102660801 is an apocalyptic number.

220102660801 is the 469151-st square number.

220102660801 is the 234576-th centered octagonal number.

It is an amenable number.

220102660801 is a deficient number, since it is larger than the sum of its proper divisors (3696490658).

220102660801 is an frugal number, since it uses more digits than its factorization.

220102660801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 220102660801 by its product of nonzero digits (2304), we get a square (507116530485504 = 22519248²).

Adding to 220102660801 its reverse (108066201022), we get a palindrome (328168861823).

The spelling of 220102660801 in words is "two hundred twenty billion, one hundred two million, six hundred sixty thousand, eight hundred one".