10002120220000 has 240 divisors, whose sum is σ = 25913232298800. Its totient is φ = 3788605440000.

The previous prime is 10002120219977. The next prime is 10002120220033. The reversal of 10002120220000 is 2202120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1173815740 + ... + 1173824260.

It is an arithmetic number, because the mean of its divisors is an integer number (107971801245).

Almost surely, 2^{10002120220000} is an apocalyptic number.

10002120220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956616149400).

10002120220000 is an abundant number, since it is smaller than the sum of its proper divisors (15911112078800).

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

10002120220000 is an equidigital number, since it uses as much as digits as its factorization.

10002120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002120220000 its reverse (2202120001), we get a palindrome (10004322340001).

The spelling of 10002120220000 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty thousand".