10201021210002 has 192 divisors, whose sum is σ = 25285426248960. Its totient is φ = 2685283840512.

The previous prime is 10201021209991. The next prime is 10201021210099. The reversal of 10201021210002 is 20001212010201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201021210002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2130091824 + ... + 2130096612.

It is an arithmetic number, because the mean of its divisors is an integer number (131694928380).

Almost surely, 2^{10201021210002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201021210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642713124480).

10201021210002 is an abundant number, since it is smaller than the sum of its proper divisors (15084405038958).

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

10201021210002 is a wasteful number, since it uses less digits than its factorization.

10201021210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8654 counting only the distinct ones).

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

Adding to 10201021210002 its reverse (20001212010201), we get a palindrome (30202233220203).

The spelling of 10201021210002 in words is "ten trillion, two hundred one billion, twenty-one million, two hundred ten thousand, two".