10113443021100 has 72 divisors (see below), whose sum is σ = 29262077107200. Its totient is φ = 2696870646080.

The previous prime is 10113443021093. The next prime is 10113443021141. The reversal of 10113443021100 is 112034431101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18814669 + ... + 19344731.

It is an arithmetic number, because the mean of its divisors is an integer number (406417737600).

Almost surely, 2^{10113443021100} is an apocalyptic number.

10113443021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113443021100 is an abundant number, since it is smaller than the sum of its proper divisors (19148634086100).

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

10113443021100 is a wasteful number, since it uses less digits than its factorization.

10113443021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593679 (or 593672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10113443021100 its reverse (112034431101), we get a palindrome (10225477452201).

The spelling of 10113443021100 in words is "ten trillion, one hundred thirteen billion, four hundred forty-three million, twenty-one thousand, one hundred".