10210210012002 has 288 divisors, whose sum is σ = 28819014473664. Its totient is φ = 2381835456000.

The previous prime is 10210210011979. The next prime is 10210210012027. The reversal of 10210210012002 is 20021001201201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19969752 + ... + 20474652.

It is an arithmetic number, because the mean of its divisors is an integer number (100066022478).

Almost surely, 2^{10210210012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210210012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409507236832).

10210210012002 is an abundant number, since it is smaller than the sum of its proper divisors (18608804461662).

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

10210210012002 is a wasteful number, since it uses less digits than its factorization.

10210210012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504994 (or 504974 counting only the distinct ones).

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

Adding to 10210210012002 its reverse (20021001201201), we get a palindrome (30231211213203).

It can be divided in two parts, 10 and 210210012002, that added together give a palindrome (210210012012).

The spelling of 10210210012002 in words is "ten trillion, two hundred ten billion, two hundred ten million, twelve thousand, two".