102201110010020 has 72 divisors (see below), whose sum is σ = 250052202542520. Its totient is φ = 34985715179520.

The previous prime is 102201110009959. The next prime is 102201110010037. The reversal of 102201110010020 is 20010011102201.

102201110010020 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 17315402347684 + 84885707662336 = 4161178^2 + 9213344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102201110009983 and 102201110010010.

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, 80718815 + ... + 81975174.

It is an arithmetic number, because the mean of its divisors is an integer number (3472947257535).

Almost surely, 2^{102201110010020} is an apocalyptic number.

102201110010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201110010020 is an abundant number, since it is smaller than the sum of its proper divisors (147851092532500).

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

102201110010020 is a wasteful number, since it uses less digits than its factorization.

102201110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162694653 (or 162694644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102201110010020 its reverse (20010011102201), we get a palindrome (122211121112221).

The spelling of 102201110010020 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, ten thousand, twenty".