1001101000012 has 24 divisors (see below), whose sum is σ = 1759097075792. Its totient is φ = 498503808000.

The previous prime is 1001100999967. The next prime is 1001101000033. The reversal of 1001101000012 is 2100001011001.

1001101000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001100999959 and 1001101000004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1793212 + ... + 2284252.

Almost surely, 2^{1001101000012} is an apocalyptic number.

It is an amenable number.

1001101000012 is a deficient number, since it is larger than the sum of its proper divisors (757996075780).

1001101000012 is a wasteful number, since it uses less digits than its factorization.

1001101000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493129 (or 493127 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001101000012 its reverse (2100001011001), we get a palindrome (3101102011013).

The spelling of 1001101000012 in words is "one trillion, one billion, one hundred one million, twelve", and thus it is an aban number.