1001100000012 has 48 divisors (see below), whose sum is σ = 2679100419072. Its totient is φ = 285010669440.

The previous prime is 1001100000001. The next prime is 1001100000037. The reversal of 1001100000012 is 2100000011001.

1001100000012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21182548 + ... + 21229755.

It is an arithmetic number, because the mean of its divisors is an integer number (55814592064).

Almost surely, 2^{1001100000012} is an apocalyptic number.

1001100000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001100000012 is an abundant number, since it is smaller than the sum of its proper divisors (1678000419060).

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

1001100000012 is a wasteful number, since it uses less digits than its factorization.

1001100000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42412598 (or 42412596 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001100000012 its reverse (2100000011001), we get a palindrome (3101100011013).

The spelling of 1001100000012 in words is "one trillion, one billion, one hundred million, twelve", and thus it is an aban number.