10001001120012 has 144 divisors (see below), whose sum is σ = 29013859929600. Its totient is φ = 2845380593664.

The previous prime is 10001001120007. The next prime is 10001001120037. The reversal of 10001001120012 is 21002110010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001001119976 and 10001001120003.

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, 56825583 + ... + 57001305.

It is an arithmetic number, because the mean of its divisors is an integer number (201485138400).

Almost surely, 2^{10001001120012} is an apocalyptic number.

10001001120012 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 10001001120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506929964800).

10001001120012 is an abundant number, since it is smaller than the sum of its proper divisors (19012858809588).

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

10001001120012 is a wasteful number, since it uses less digits than its factorization.

10001001120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176692 (or 176687 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001001120012 its reverse (21002110010001), we get a palindrome (31003111130013).

The spelling of 10001001120012 in words is "ten trillion, one billion, one million, one hundred twenty thousand, twelve".