101334340400 has 120 divisors (see below), whose sum is σ = 252212912400. Its totient is φ = 39079756800.

The previous prime is 101334340379. The next prime is 101334340433. The reversal of 101334340400 is 4043433101.

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, 8566490 + ... + 8578310.

It is an arithmetic number, because the mean of its divisors is an integer number (2101774270).

Almost surely, 2^101334340400 is an apocalyptic number.

101334340400 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 101334340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126106456200).

101334340400 is an abundant number, since it is smaller than the sum of its proper divisors (150878572000).

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

101334340400 is a wasteful number, since it uses less digits than its factorization.

101334340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 101334340400 its reverse (4043433101), we get a palindrome (105377773501).

The spelling of 101334340400 in words is "one hundred one billion, three hundred thirty-four million, three hundred forty thousand, four hundred".