100133222233200 has 480 divisors, whose sum is σ = 356024178994176. Its totient is φ = 23897229742080.

The previous prime is 100133222233153. The next prime is 100133222233259. The reversal of 100133222233200 is 2332222331001.

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 95 ways as a sum of consecutive naturals, for example, 163041097 + ... + 163654103.

Almost surely, 2^{100133222233200} is an apocalyptic number.

100133222233200 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 100133222233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178012089497088).

100133222233200 is an abundant number, since it is smaller than the sum of its proper divisors (255890956760976).

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

100133222233200 is a wasteful number, since it uses less digits than its factorization.

100133222233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613361 (or 613350 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 100133222233200 its reverse (2332222331001), we get a palindrome (102465444564201).

The spelling of 100133222233200 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred".