10210213301120 has 256 divisors, whose sum is σ = 29585829242880. Its totient is φ = 3293548093440.

The previous prime is 10210213301107. The next prime is 10210213301149. The reversal of 10210213301120 is 2110331201201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5473229 + ... + 7097651.

It is an arithmetic number, because the mean of its divisors is an integer number (115569645480).

Almost surely, 2^{10210213301120} is an apocalyptic number.

10210213301120 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 10210213301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792914621440).

10210213301120 is an abundant number, since it is smaller than the sum of its proper divisors (19375615941760).

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

10210213301120 is a wasteful number, since it uses less digits than its factorization.

10210213301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624533 (or 1624521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10210213301120 its reverse (2110331201201), we get a palindrome (12320544502321).

The spelling of 10210213301120 in words is "ten trillion, two hundred ten billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".