10210221010002 has 192 divisors, whose sum is σ = 23723791297920. Its totient is φ = 2903073758208.

The previous prime is 10210221010001. The next prime is 10210221010057. The reversal of 10210221010002 is 20001012201201.

It is a super-2 number, since 2×10210221010002² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10210221010002.

It is not an unprimeable number, because it can be changed into a prime (10210221010001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516690358 + ... + 2516694414.

It is an arithmetic number, because the mean of its divisors is an integer number (123561413010).

Almost surely, 2^{10210221010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210221010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861895648960).

10210221010002 is an abundant number, since it is smaller than the sum of its proper divisors (13513570287918).

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

10210221010002 is a wasteful number, since it uses less digits than its factorization.

10210221010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4326 counting only the distinct ones).

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

Adding to 10210221010002 its reverse (20001012201201), we get a palindrome (30211233211203).

The spelling of 10210221010002 in words is "ten trillion, two hundred ten billion, two hundred twenty-one million, ten thousand, two".