102202221000020 has 48 divisors (see below), whose sum is σ = 215267259134928. Its totient is φ = 40758495805440.

The previous prime is 102202221000017. The next prime is 102202221000049. The reversal of 102202221000020 is 20000122202201.

It can be written as a sum of positive squares in 8 ways, for example, as 15026461454404 + 87175759545616 = 3876398^2 + 9336796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102202220999959 and 102202221000004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282582500 + ... + 282943940.

It is an arithmetic number, because the mean of its divisors is an integer number (4484734565311).

Almost surely, 2^{102202221000020} is an apocalyptic number.

102202221000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202221000020 is an abundant number, since it is smaller than the sum of its proper divisors (113065038134908).

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

102202221000020 is a wasteful number, since it uses less digits than its factorization.

102202221000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403740 (or 403738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202221000020 its reverse (20000122202201), we get a palindrome (122202343202221).

The spelling of 102202221000020 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, twenty", and thus it is an aban number.