10200111120 has 60 divisors (see below), whose sum is σ = 34255375596. Its totient is φ = 2720029440.

The previous prime is 10200111083. The next prime is 10200111121. The reversal of 10200111120 is 2111100201.

It is a happy number.

10200111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3362144256 + 6837966864 = 57984^2 + 82692^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200111121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7082691 + ... + 7084130.

Almost surely, 2^10200111120 is an apocalyptic number.

10200111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200111120 is an abundant number, since it is smaller than the sum of its proper divisors (24055264476).

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

10200111120 is a wasteful number, since it uses less digits than its factorization.

10200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166840 (or 14166831 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200111120 its reverse (2111100201), we get a palindrome (12311211321).

The spelling of 10200111120 in words is "ten billion, two hundred million, one hundred eleven thousand, one hundred twenty".