100212333021312 has 32 divisors (see below), whose sum is σ = 266189009588880. Its totient is φ = 33404111006976.

The previous prime is 100212333021277. The next prime is 100212333021313. The reversal of 100212333021312 is 213120333212001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100212333021313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130484808238 + ... + 130484809005.

Almost surely, 2^{100212333021312} is an apocalyptic number.

100212333021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212333021312 is an abundant number, since it is smaller than the sum of its proper divisors (165976676567568).

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

100212333021312 is an equidigital number, since it uses as much as digits as its factorization.

100212333021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260969617260 (or 260969617248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100212333021312 its reverse (213120333212001), we get a palindrome (313332666233313).

The spelling of 100212333021312 in words is "one hundred trillion, two hundred twelve billion, three hundred thirty-three million, twenty-one thousand, three hundred twelve".