10200111211120 has 160 divisors (see below), whose sum is σ = 26009543854080. Its totient is φ = 3705657154560.

The previous prime is 10200111211051. The next prime is 10200111211183. The reversal of 10200111211120 is 2111211100201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10200111211120.

It is a congruent number.

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, 4030294 + ... + 6053386.

It is an arithmetic number, because the mean of its divisors is an integer number (162559649088).

Almost surely, 2^{10200111211120} is an apocalyptic number.

10200111211120 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 10200111211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004771927040).

10200111211120 is an abundant number, since it is smaller than the sum of its proper divisors (15809432642960).

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

10200111211120 is a wasteful number, since it uses less digits than its factorization.

10200111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023263 (or 2023257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10200111211120 its reverse (2111211100201), we get a palindrome (12311322311321).

The spelling of 10200111211120 in words is "ten trillion, two hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".