100212123213312 has 320 divisors, whose sum is σ = 293639701284864. Its totient is φ = 30118273802240.

The previous prime is 100212123213311. The next prime is 100212123213341. The reversal of 100212123213312 is 213312321212001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212123213311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1008658423 + ... + 1008757769.

Almost surely, 2^{100212123213312} is an apocalyptic number.

100212123213312 is a gapful number since it is divisible by the number (12) 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 100212123213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146819850642432).

100212123213312 is an abundant number, since it is smaller than the sum of its proper divisors (193427578071552).

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

100212123213312 is a wasteful number, since it uses less digits than its factorization.

100212123213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99869 (or 99853 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100212123213312 its reverse (213312321212001), we get a palindrome (313524444425313).

The spelling of 100212123213312 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".