10002421313010 has 256 divisors, whose sum is σ = 30887780889600. Its totient is φ = 2256128888832.

The previous prime is 10002421312991. The next prime is 10002421313047. The reversal of 10002421313010 is 1031312420001.

10002421313010 is a `hidden beast` number, since 100 + 0 + 2 + 421 + 3 + 130 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48805272 + ... + 49009788.

It is an arithmetic number, because the mean of its divisors is an integer number (120655394100).

Almost surely, 2^{10002421313010} is an apocalyptic number.

10002421313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002421313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443890444800).

10002421313010 is an abundant number, since it is smaller than the sum of its proper divisors (20885359576590).

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

10002421313010 is a wasteful number, since it uses less digits than its factorization.

10002421313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204882 (or 204876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10002421313010 its reverse (1031312420001), we get a palindrome (11033733733011).

The spelling of 10002421313010 in words is "ten trillion, two billion, four hundred twenty-one million, three hundred thirteen thousand, ten".