10001110443100 has 144 divisors (see below), whose sum is σ = 26344593963072. Its totient is φ = 3217067274240.

The previous prime is 10001110443073. The next prime is 10001110443109. The reversal of 10001110443100 is 134401110001.

It is a super-2 number, since 2×10001110443100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001110443109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446702 + ... + 5097898.

It is an arithmetic number, because the mean of its divisors is an integer number (182948569188).

Almost surely, 2^{10001110443100} is an apocalyptic number.

10001110443100 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 10001110443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172296981536).

10001110443100 is an abundant number, since it is smaller than the sum of its proper divisors (16343483519972).

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

10001110443100 is a wasteful number, since it uses less digits than its factorization.

10001110443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651552 (or 2651545 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001110443100 its reverse (134401110001), we get a palindrome (10135511553101).

The spelling of 10001110443100 in words is "ten trillion, one billion, one hundred ten million, four hundred forty-three thousand, one hundred".