10120201201120 has 384 divisors, whose sum is σ = 25617615206400. Its totient is φ = 3767274749952.

The previous prime is 10120201201109. The next prime is 10120201201189. The reversal of 10120201201120 is 2110210202101.

It is a self number, because there is not a number n which added to its sum of digits gives 10120201201120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29164844787 + ... + 29164845133.

It is an arithmetic number, because the mean of its divisors is an integer number (66712539600).

Almost surely, 2^{10120201201120} is an apocalyptic number.

10120201201120 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 10120201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12808807603200).

10120201201120 is an abundant number, since it is smaller than the sum of its proper divisors (15497414005280).

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

10120201201120 is a wasteful number, since it uses less digits than its factorization.

10120201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120201201120 its reverse (2110210202101), we get a palindrome (12230411403221).

The spelling of 10120201201120 in words is "ten trillion, one hundred twenty billion, two hundred one million, two hundred one thousand, one hundred twenty".