1010001101112 has 48 divisors (see below), whose sum is σ = 2735495685000. Its totient is φ = 336657675456.

The previous prime is 1010001101009. The next prime is 1010001101141. The reversal of 1010001101112 is 2111011000101.

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 = 1010001101094 and 1010001101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2712214 + ... + 3062042.

Almost surely, 2^{1010001101112} is an apocalyptic number.

1010001101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010001101112 is an abundant number, since it is smaller than the sum of its proper divisors (1725494583888).

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

1010001101112 is a wasteful number, since it uses less digits than its factorization.

1010001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389940 (or 389933 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010001101112 its reverse (2111011000101), we get a palindrome (3121012101213).

The spelling of 1010001101112 in words is "one trillion, ten billion, one million, one hundred one thousand, one hundred twelve".