101043044300800 has 1152 divisors, whose sum is σ = 313071962112000. Its totient is φ = 31571361792000.

The previous prime is 101043044300711. The next prime is 101043044300801. The reversal of 101043044300800 is 8003440340101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101043044300801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18883018125 + ... + 18883023475.

It is an arithmetic number, because the mean of its divisors is an integer number (271763856000).

Almost surely, 2^{101043044300800} is an apocalyptic number.

101043044300800 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 101043044300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156535981056000).

101043044300800 is an abundant number, since it is smaller than the sum of its proper divisors (212028917811200).

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

101043044300800 is a wasteful number, since it uses less digits than its factorization.

101043044300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5490 counting only the distinct ones).

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

Adding to 101043044300800 its reverse (8003440340101), we get a palindrome (109046484640901).

The spelling of 101043044300800 in words is "one hundred one trillion, forty-three billion, forty-four million, three hundred thousand, eight hundred".