100120020333333 has 256 divisors, whose sum is σ = 183436904448000. Its totient is φ = 47291942016000.

The previous prime is 100120020333301. The next prime is 100120020333349. The reversal of 100120020333333 is 333333020021001.

It is not a de Polignac number, because 100120020333333 - 2⁵ = 100120020333301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120020133333) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 7303226083 + ... + 7303239791.

It is an arithmetic number, because the mean of its divisors is an integer number (716550408000).

Almost surely, 2^{100120020333333} is an apocalyptic number.

100120020333333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100120020333333 is a deficient number, since it is larger than the sum of its proper divisors (83316884114667).

100120020333333 is a wasteful number, since it uses less digits than its factorization.

100120020333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 100120020333333 its reverse (333333020021001), we get a palindrome (433453040354334).

The spelling of 100120020333333 in words is "one hundred trillion, one hundred twenty billion, twenty million, three hundred thirty-three thousand, three hundred thirty-three".