100001011334400 has 648 divisors, whose sum is σ = 390336676853760. Its totient is φ = 24223518720000.

The previous prime is 100001011334377. The next prime is 100001011334453. The reversal of 100001011334400 is 4433110100001.

100001011334400 is a `hidden beast` number, since 100 + 0 + 0 + 10 + 113 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 810312700 + ... + 810436100.

Almost surely, 2^{100001011334400} is an apocalyptic number.

100001011334400 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 100001011334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168338426880).

100001011334400 is an abundant number, since it is smaller than the sum of its proper divisors (290335665519360).

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

100001011334400 is a wasteful number, since it uses less digits than its factorization.

100001011334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124723 (or 124701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100001011334400 its reverse (4433110100001), we get a palindrome (104434121434401).

The spelling of 100001011334400 in words is "one hundred trillion, one billion, eleven million, three hundred thirty-four thousand, four hundred".