10210221020010 has 256 divisors, whose sum is σ = 27337844901888. Its totient is φ = 2419783372800.

The previous prime is 10210221019987. The next prime is 10210221020039. The reversal of 10210221020010 is 1002012201201.

It is a super-2 number, since 2×10210221020010² (a number of 27 digits) contains 22 as substring.

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, 2597357745 + ... + 2597361675.

It is an arithmetic number, because the mean of its divisors is an integer number (106788456648).

Almost surely, 2^{10210221020010} is an apocalyptic number.

10210221020010 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 10210221020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668922450944).

10210221020010 is an abundant number, since it is smaller than the sum of its proper divisors (17127623881878).

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

10210221020010 is a wasteful number, since it uses less digits than its factorization.

10210221020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949.

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

Adding to 10210221020010 its reverse (1002012201201), we get a palindrome (11212233221211).

It can be divided in two parts, 102102 and 21020010, that added together give a palindrome (21122112).

The spelling of 10210221020010 in words is "ten trillion, two hundred ten billion, two hundred twenty-one million, twenty thousand, ten".