100430041322000 has 80 divisors (see below), whose sum is σ = 261519827670192. Its totient is φ = 37081861401600.

The previous prime is 100430041321999. The next prime is 100430041322033. The reversal of 100430041322000 is 223140034001.

It can be written as a sum of positive squares in 8 ways, for example, as 66291121828096 + 34138919493904 = 8141936^2 + 5842852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1931320949 + ... + 1931372948.

Almost surely, 2^{100430041322000} is an apocalyptic number.

100430041322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100430041322000 is an abundant number, since it is smaller than the sum of its proper divisors (161089786348192).

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

100430041322000 is a wasteful number, since it uses less digits than its factorization.

100430041322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862693933 (or 3862693917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100430041322000 its reverse (223140034001), we get a palindrome (100653181356001).

The spelling of 100430041322000 in words is "one hundred trillion, four hundred thirty billion, forty-one million, three hundred twenty-two thousand".