102071605220 has 24 divisors (see below), whose sum is σ = 230838861624. Its totient is φ = 37687977216.

The previous prime is 102071605201. The next prime is 102071605367. The reversal of 102071605220 is 22506170201.

102071605220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1110355684 + 100961249536 = 33322^2 + 317744^2 .

It is a super-3 number, since 3×102071605220³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 102071605220.

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, 196291289 + ... + 196291808.

It is an arithmetic number, because the mean of its divisors is an integer number (9618285901).

Almost surely, 2^102071605220 is an apocalyptic number.

102071605220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102071605220 is an abundant number, since it is smaller than the sum of its proper divisors (128767256404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102071605220 is a wasteful number, since it uses less digits than its factorization.

102071605220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392583119 (or 392583117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 102071605220 its reverse (22506170201), we get a palindrome (124577775421).

The spelling of 102071605220 in words is "one hundred two billion, seventy-one million, six hundred five thousand, two hundred twenty".