10101443403400 has 96 divisors (see below), whose sum is σ = 24311686809600. Its totient is φ = 3898682144000.

The previous prime is 10101443403377. The next prime is 10101443403427. The reversal of 10101443403400 is 430434410101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8261625 + ... + 9405175.

It is an arithmetic number, because the mean of its divisors is an integer number (253246737600).

Almost surely, 2^{10101443403400} is an apocalyptic number.

10101443403400 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 10101443403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155843404800).

10101443403400 is an abundant number, since it is smaller than the sum of its proper divisors (14210243406200).

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

10101443403400 is a wasteful number, since it uses less digits than its factorization.

10101443403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145119 (or 1145110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10101443403400 its reverse (430434410101), we get a palindrome (10531877813501).

The spelling of 10101443403400 in words is "ten trillion, one hundred one billion, four hundred forty-three million, four hundred three thousand, four hundred".