100012210323012 has 144 divisors (see below), whose sum is σ = 272609068822272. Its totient is φ = 30733033443840.

The previous prime is 100012210322987. The next prime is 100012210323043. The reversal of 100012210323012 is 210323012210001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2411829903 + ... + 2411871369.

It is an arithmetic number, because the mean of its divisors is an integer number (1893118533488).

Almost surely, 2^{100012210323012} is an apocalyptic number.

100012210323012 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 100012210323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304534411136).

100012210323012 is an abundant number, since it is smaller than the sum of its proper divisors (172596858499260).

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

100012210323012 is a wasteful number, since it uses less digits than its factorization.

100012210323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48058 (or 48053 counting only the distinct ones).

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

Adding to 100012210323012 its reverse (210323012210001), we get a palindrome (310335222533013).

The spelling of 100012210323012 in words is "one hundred trillion, twelve billion, two hundred ten million, three hundred twenty-three thousand, twelve".