100233200121300 has 216 divisors, whose sum is σ = 320517039580920. Its totient is φ = 26194646016000.

The previous prime is 100233200121277. The next prime is 100233200121311. The reversal of 100233200121300 is 3121002332001.

100233200121300 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 320 + 0 + 1 + 21 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 79762117969296 + 20471082152004 = 8930964^2 + 4524498^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3514350 + ... + 14588250.

It is an arithmetic number, because the mean of its divisors is an integer number (1483875183245).

Almost surely, 2^{100233200121300} is an apocalyptic number.

100233200121300 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 100233200121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160258519790460).

100233200121300 is an abundant number, since it is smaller than the sum of its proper divisors (220283839459620).

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

100233200121300 is a wasteful number, since it uses less digits than its factorization.

100233200121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074123 (or 11074113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100233200121300 its reverse (3121002332001), we get a palindrome (103354202453301).

The spelling of 100233200121300 in words is "one hundred trillion, two hundred thirty-three billion, two hundred million, one hundred twenty-one thousand, three hundred".