20102131322000 has 480 divisors, whose sum is σ = 60933732429024. Its totient is φ = 6357657600000.

The previous prime is 20102131321997. The next prime is 20102131322027. The reversal of 20102131322000 is 22313120102.

It can be written as a sum of positive squares in 16 ways, for example, as 19878186582016 + 223944739984 = 4458496^2 + 473228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20102131322000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2233317500 + ... + 2233326500.

Almost surely, 2^{20102131322000} is an apocalyptic number.

20102131322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102131322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466866214512).

20102131322000 is an abundant number, since it is smaller than the sum of its proper divisors (40831601107024).

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

20102131322000 is a wasteful number, since it uses less digits than its factorization.

20102131322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20102131322000 its reverse (22313120102), we get a palindrome (20124444442102).

The spelling of 20102131322000 in words is "twenty trillion, one hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand".