10144344123100 has 36 divisors (see below), whose sum is σ = 24014429181288. Its totient is φ = 3688852408000.

The previous prime is 10144344123083. The next prime is 10144344123161. The reversal of 10144344123100 is 132144344101.

10144344123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10144344123100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4611064411 + ... + 4611066610.

It is an arithmetic number, because the mean of its divisors is an integer number (667067477258).

Almost surely, 2^{10144344123100} is an apocalyptic number.

10144344123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144344123100 is an abundant number, since it is smaller than the sum of its proper divisors (13870085058188).

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

10144344123100 is a wasteful number, since it uses less digits than its factorization.

10144344123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222131046 (or 9222131039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10144344123100 its reverse (132144344101), we get a palindrome (10276488467201).

The spelling of 10144344123100 in words is "ten trillion, one hundred forty-four billion, three hundred forty-four million, one hundred twenty-three thousand, one hundred".