10001120010012 has 18 divisors (see below), whose sum is σ = 25280608914288. Its totient is φ = 3333706669992.

The previous prime is 10001120009999. The next prime is 10001120010019. The reversal of 10001120010012 is 21001002110001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×10001120010012³ (a number of 40 digits) contains 333 as substring.

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 = 10001120009976 and 10001120010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138904444548 + ... + 138904444619.

It is an arithmetic number, because the mean of its divisors is an integer number (1404478273016).

Almost surely, 2^{10001120010012} is an apocalyptic number.

10001120010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001120010012 is an abundant number, since it is smaller than the sum of its proper divisors (15279488904276).

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

10001120010012 is a wasteful number, since it uses less digits than its factorization.

10001120010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277808889177 (or 277808889172 counting only the distinct ones).

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

Adding to 10001120010012 its reverse (21001002110001), we get a palindrome (31002122120013).

The spelling of 10001120010012 in words is "ten trillion, one billion, one hundred twenty million, ten thousand, twelve".