100012120212000 has 1536 divisors, whose sum is σ = 348552122720256. Its totient is φ = 25042452480000.

The previous prime is 100012120211987. The next prime is 100012120212013. The reversal of 100012120212000 is 212021210001.

It is an interprime number because it is at equal distance from previous prime (100012120211987) and next prime (100012120212013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 448484843889 + ... + 448484844111.

It is an arithmetic number, because the mean of its divisors is an integer number (226921954896).

Almost surely, 2^{100012120212000} is an apocalyptic number.

100012120212000 is a gapful number since it is divisible by the number (10) 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 100012120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174276061360128).

100012120212000 is an abundant number, since it is smaller than the sum of its proper divisors (248540002508256).

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

100012120212000 is a wasteful number, since it uses less digits than its factorization.

100012120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012120212000 its reverse (212021210001), we get a palindrome (100224141422001).

The spelling of 100012120212000 in words is "one hundred trillion, twelve billion, one hundred twenty million, two hundred twelve thousand".