100213332120000 has 840 divisors, whose sum is σ = 391887108570672. Its totient is φ = 24274483200000.

The previous prime is 100213332119959. The next prime is 100213332120113. The reversal of 100213332120000 is 21233312001.

100213332120000 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 332 + 120 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5231150422 + ... + 5231169578.

Almost surely, 2^{100213332120000} is an apocalyptic number.

100213332120000 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 100213332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195943554285336).

100213332120000 is an abundant number, since it is smaller than the sum of its proper divisors (291673776450672).

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

100213332120000 is a wasteful number, since it uses less digits than its factorization.

100213332120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20499 counting only the distinct ones).

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

Adding to 100213332120000 its reverse (21233312001), we get a palindrome (100234565432001).

It can be divided in two parts, 1002133 and 32120000, that added together give a palindrome (33122133).

The spelling of 100213332120000 in words is "one hundred trillion, two hundred thirteen billion, three hundred thirty-two million, one hundred twenty thousand".