10002012020010 has 128 divisors (see below), whose sum is σ = 26846845804800. Its totient is φ = 2649728090880.

The previous prime is 10002012019999. The next prime is 10002012020027. The reversal of 10002012020010 is 1002021020001.

10002012020010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002012019974 and 10002012020001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270811245 + ... + 270848175.

It is an arithmetic number, because the mean of its divisors is an integer number (209740982850).

Almost surely, 2^{10002012020010} is an apocalyptic number.

10002012020010 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 10002012020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423422902400).

10002012020010 is an abundant number, since it is smaller than the sum of its proper divisors (16844833784790).

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

10002012020010 is a wasteful number, since it uses less digits than its factorization.

10002012020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43493 (or 43487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002012020010 its reverse (1002021020001), we get a palindrome (11004033040011).

The spelling of 10002012020010 in words is "ten trillion, two billion, twelve million, twenty thousand, ten".