100203122233000 has 128 divisors (see below), whose sum is σ = 243194006016000. Its totient is φ = 38598090451200.

The previous prime is 100203122232943. The next prime is 100203122233003. The reversal of 100203122233000 is 332221302001.

It is not an unprimeable number, because it can be changed into a prime (100203122233003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6596191 + ... + 15617809.

It is an arithmetic number, because the mean of its divisors is an integer number (1899953172000).

Almost surely, 2^{100203122233000} is an apocalyptic number.

100203122233000 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 100203122233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121597003008000).

100203122233000 is an abundant number, since it is smaller than the sum of its proper divisors (142990883783000).

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

100203122233000 is a wasteful number, since it uses less digits than its factorization.

100203122233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022052 (or 9022038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100203122233000 its reverse (332221302001), we get a palindrome (100535343535001).

The spelling of 100203122233000 in words is "one hundred trillion, two hundred three billion, one hundred twenty-two million, two hundred thirty-three thousand".