10202020010010 has 96 divisors (see below), whose sum is σ = 26991018288000. Its totient is φ = 2672823109248.

The previous prime is 10202020009919. The next prime is 10202020010011. The reversal of 10202020010010 is 1001002020201.

10202020010010 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 = 10202020009974 and 10202020010001.

It is not an unprimeable number, because it can be changed into a prime (10202020010011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8286811 + ... + 9437969.

It is an arithmetic number, because the mean of its divisors is an integer number (281156440500).

Almost surely, 2^{10202020010010} is an apocalyptic number.

10202020010010 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 10202020010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495509144000).

10202020010010 is an abundant number, since it is smaller than the sum of its proper divisors (16788998277990).

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

10202020010010 is a wasteful number, since it uses less digits than its factorization.

10202020010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152900 (or 1152897 counting only the distinct ones).

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

Adding to 10202020010010 its reverse (1001002020201), we get a palindrome (11203022030211).

The spelling of 10202020010010 in words is "ten trillion, two hundred two billion, twenty million, ten thousand, ten".