10212102112002 has 128 divisors (see below), whose sum is σ = 24341100134400. Its totient is φ = 2794502543616.

The previous prime is 10212102111989. The next prime is 10212102112033. The reversal of 10212102112002 is 20021120121201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205338463 + ... + 205388189.

It is an arithmetic number, because the mean of its divisors is an integer number (190164844800).

Almost surely, 2^{10212102112002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212102112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170550067200).

10212102112002 is an abundant number, since it is smaller than the sum of its proper divisors (14128998022398).

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

10212102112002 is a wasteful number, since it uses less digits than its factorization.

10212102112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51120.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212102112002 its reverse (20021120121201), we get a palindrome (30233222233203).

The spelling of 10212102112002 in words is "ten trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, two".