204220131002010 has 160 divisors (see below), whose sum is σ = 551523993772752. Its totient is φ = 54221010370560.

The previous prime is 204220131002009. The next prime is 204220131002011. The reversal of 204220131002010 is 10200131022402.

It is a happy number.

204220131002010 is a `hidden beast` number, since 20 + 422 + 0 + 13 + 10 + 0 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204220131002009) and next prime (204220131002011).

It can be written as a sum of positive squares in 8 ways, for example, as 23810076516249 + 180410054485761 = 4879557^2 + 13431681^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204220131002011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439631070 + ... + 440095350.

Almost surely, 2^{204220131002010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204220131002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275761996886376).

204220131002010 is an abundant number, since it is smaller than the sum of its proper divisors (347303862770742).

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

204220131002010 is a wasteful number, since it uses less digits than its factorization.

204220131002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466670 (or 466661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204220131002010 its reverse (10200131022402), we get a palindrome (214420262024412).

The spelling of 204220131002010 in words is "two hundred four trillion, two hundred twenty billion, one hundred thirty-one million, two thousand, ten".