21210120010002 has 128 divisors (see below), whose sum is σ = 53358773630976. Its totient is φ = 5460255360000.

The previous prime is 21210120009931. The next prime is 21210120010081. The reversal of 21210120010002 is 20001002101212.

It is a self number, because there is not a number n which added to its sum of digits gives 21210120010002.

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, 23041752 + ... + 23944572.

It is an arithmetic number, because the mean of its divisors is an integer number (416865418992).

Almost surely, 2^{21210120010002} is an apocalyptic number.

21210120010002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210120010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679386815488).

21210120010002 is an abundant number, since it is smaller than the sum of its proper divisors (32148653620974).

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

21210120010002 is a wasteful number, since it uses less digits than its factorization.

21210120010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903296.

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

Adding to 21210120010002 its reverse (20001002101212), we get a palindrome (41211122111214).

The spelling of 21210120010002 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, ten thousand, two".