100033212000000 has 252 divisors, whose sum is σ = 332788562283128. Its totient is φ = 26675520000000.

The previous prime is 100033211999989. The next prime is 100033212000061. The reversal of 100033212000000 is 212330001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100033212000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7831950 + ... + 16168050.

Almost surely, 2^{100033212000000} is an apocalyptic number.

100033212000000 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 100033212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166394281141564).

100033212000000 is an abundant number, since it is smaller than the sum of its proper divisors (232755350283128).

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

100033212000000 is an frugal number, since it uses more digits than its factorization.

100033212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336150 (or 8336111 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100033212000000 its reverse (212330001), we get a palindrome (100033424330001).

The spelling of 100033212000000 in words is "one hundred trillion, thirty-three billion, two hundred twelve million", and thus it is an aban number.