10202021210010 has 256 divisors, whose sum is σ = 29285286912000. Its totient is φ = 2272286016000.

The previous prime is 10202021209999. The next prime is 10202021210023. The reversal of 10202021210010 is 1001212020201.

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, 362389435 + ... + 362417585.

It is an arithmetic number, because the mean of its divisors is an integer number (114395652000).

Almost surely, 2^{10202021210010} is an apocalyptic number.

10202021210010 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 10202021210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642643456000).

10202021210010 is an abundant number, since it is smaller than the sum of its proper divisors (19083265701990).

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

10202021210010 is a wasteful number, since it uses less digits than its factorization.

10202021210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202021210010 its reverse (1001212020201), we get a palindrome (11203233230211).

The spelling of 10202021210010 in words is "ten trillion, two hundred two billion, twenty-one million, two hundred ten thousand, ten".