100010321133200 has 240 divisors, whose sum is σ = 251466863913552. Its totient is φ = 38189629440000.

The previous prime is 100010321133157. The next prime is 100010321133253. The reversal of 100010321133200 is 2331123010001.

It can be written as a sum of positive squares in 24 ways, for example, as 98405447682304 + 1604873450896 = 9919952^2 + 1266836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192818210 + ... + 193336190.

Almost surely, 2^{100010321133200} is an apocalyptic number.

100010321133200 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 100010321133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125733431956776).

100010321133200 is an abundant number, since it is smaller than the sum of its proper divisors (151456542780352).

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

100010321133200 is a wasteful number, since it uses less digits than its factorization.

100010321133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518294 (or 518283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100010321133200 its reverse (2331123010001), we get a palindrome (102341444143201).

The spelling of 100010321133200 in words is "one hundred trillion, ten billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".