100012023123012 has 1440 divisors, whose sum is σ = 366593246046720. Its totient is φ = 23360524830720.

The previous prime is 100012023123011. The next prime is 100012023123017. The reversal of 100012023123012 is 210321320210001.

100012023123012 is a `hidden beast` number, since 10 + 0 + 0 + 120 + 231 + 2 + 301 + 2 = 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 (100012023123011) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24434892438 + ... + 24434896530.

It is an arithmetic number, because the mean of its divisors is an integer number (254578643088).

Almost surely, 2^{100012023123012} is an apocalyptic number.

100012023123012 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 100012023123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183296623023360).

100012023123012 is an abundant number, since it is smaller than the sum of its proper divisors (266581222923708).

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

100012023123012 is a wasteful number, since it uses less digits than its factorization.

100012023123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100012023123012 its reverse (210321320210001), we get a palindrome (310333343333013).

The spelling of 100012023123012 in words is "one hundred trillion, twelve billion, twenty-three million, one hundred twenty-three thousand, twelve".