10111332100 has 18 divisors (see below), whose sum is σ = 21941590874. Its totient is φ = 4044532800.

The previous prime is 10111332079. The next prime is 10111332109. The reversal of 10111332100 is 123311101.

10111332100 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 3 ways, for example, as 758121156 + 9353210944 = 27534^2 + 96712^2 .

It is not an unprimeable number, because it can be changed into a prime (10111332109) 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 5 ways as a sum of consecutive naturals, for example, 50556561 + ... + 50556760.

Almost surely, 2^10111332100 is an apocalyptic number.

10111332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111332100 is an abundant number, since it is smaller than the sum of its proper divisors (11830258774).

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

10111332100 is a wasteful number, since it uses less digits than its factorization.

10111332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101113335 (or 101113328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10111332100 its reverse (123311101), we get a palindrome (10234643201).

The spelling of 10111332100 in words is "ten billion, one hundred eleven million, three hundred thirty-two thousand, one hundred".