100012233332100 has 144 divisors (see below), whose sum is σ = 297313982840000. Its totient is φ = 25938251205120.

The previous prime is 100012233332087. The next prime is 100012233332119. The reversal of 100012233332100 is 1233332210001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24632151 + ... + 28403649.

Almost surely, 2^{100012233332100} is an apocalyptic number.

100012233332100 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 100012233332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148656991420000).

100012233332100 is an abundant number, since it is smaller than the sum of its proper divisors (197301749507900).

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

100012233332100 is a wasteful number, since it uses less digits than its factorization.

100012233332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773942 (or 3773935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100012233332100 its reverse (1233332210001), we get a palindrome (101245565542101).

The spelling of 100012233332100 in words is "one hundred trillion, twelve billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred".