100312121412 has 72 divisors (see below), whose sum is σ = 263071317600. Its totient is φ = 33422979456.

The previous prime is 100312121411. The next prime is 100312121447. The reversal of 100312121412 is 214121213001.

100312121412 is a `hidden beast` number, since 10 + 0 + 31 + 212 + 1 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100312121411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369164 + ... + 2411132.

It is an arithmetic number, because the mean of its divisors is an integer number (3653768300).

Almost surely, 2^100312121412 is an apocalyptic number.

100312121412 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 100312121412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131535658800).

100312121412 is an abundant number, since it is smaller than the sum of its proper divisors (162759196188).

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

100312121412 is a wasteful number, since it uses less digits than its factorization.

100312121412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44447 (or 44433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100312121412 its reverse (214121213001), we get a palindrome (314433334413).

The spelling of 100312121412 in words is "one hundred billion, three hundred twelve million, one hundred twenty-one thousand, four hundred twelve".