100012001012000 has 192 divisors, whose sum is σ = 306364036043520. Its totient is φ = 31172571648000.

The previous prime is 100012001011997. The next prime is 100012001012057. The reversal of 100012001012000 is 210100210001.

It is a super-3 number, since 3×100012001012000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162049145 + ... + 162665144.

It is an arithmetic number, because the mean of its divisors is an integer number (1595646021060).

Almost surely, 2^{100012001012000} is an apocalyptic number.

100012001012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012001012000 is an abundant number, since it is smaller than the sum of its proper divisors (206352035031520).

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

100012001012000 is a wasteful number, since it uses less digits than its factorization.

100012001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324714332 (or 324714314 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012001012000 its reverse (210100210001), we get a palindrome (100222101222001).

The spelling of 100012001012000 in words is "one hundred trillion, twelve billion, one million, twelve thousand".