10210112201120 has 192 divisors, whose sum is σ = 27508875077376. Its totient is φ = 3547621048320.

The previous prime is 10210112201119. The next prime is 10210112201197. The reversal of 10210112201120 is 2110221101201.

It is a junction number, because it is equal to n+sod(n) for n = 10210112201095 and 10210112201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314228075 + ... + 314260565.

It is an arithmetic number, because the mean of its divisors is an integer number (143275391028).

Almost surely, 2^{10210112201120} is an apocalyptic number.

10210112201120 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 10210112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754437538688).

10210112201120 is an abundant number, since it is smaller than the sum of its proper divisors (17298762876256).

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

10210112201120 is a wasteful number, since it uses less digits than its factorization.

10210112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41423 (or 41415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10210112201120 its reverse (2110221101201), we get a palindrome (12320333302321).

The spelling of 10210112201120 in words is "ten trillion, two hundred ten billion, one hundred twelve million, two hundred one thousand, one hundred twenty".