10212012010002 has 128 divisors (see below), whose sum is σ = 23695123415040. Its totient is φ = 2903804640000.

The previous prime is 10212012010001. The next prime is 10212012010007. The reversal of 10212012010002 is 20001021021201.

It is a self number, because there is not a number n which added to its sum of digits gives 10212012010002.

It is not an unprimeable number, because it can be changed into a prime (10212012010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16406127 + ... + 17017197.

It is an arithmetic number, because the mean of its divisors is an integer number (185118151680).

Almost surely, 2^{10212012010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212012010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847561707520).

10212012010002 is an abundant number, since it is smaller than the sum of its proper divisors (13483111405038).

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

10212012010002 is a wasteful number, since it uses less digits than its factorization.

10212012010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611320.

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

Adding to 10212012010002 its reverse (20001021021201), we get a palindrome (30213033031203).

The spelling of 10212012010002 in words is "ten trillion, two hundred twelve billion, twelve million, ten thousand, two".