100231332133200 has 240 divisors, whose sum is σ = 328842535397376. Its totient is φ = 26082821721600.

The previous prime is 100231332133183. The next prime is 100231332133241. The reversal of 100231332133200 is 2331233132001.

100231332133200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 55405377 + ... + 57185823.

Almost surely, 2^{100231332133200} is an apocalyptic number.

100231332133200 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 100231332133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164421267698688).

100231332133200 is an abundant number, since it is smaller than the sum of its proper divisors (228611203264176).

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

100231332133200 is a wasteful number, since it uses less digits than its factorization.

100231332133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781602 (or 1781591 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100231332133200 its reverse (2331233132001), we get a palindrome (102562565265201).

The spelling of 100231332133200 in words is "one hundred trillion, two hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred".