11001011001012 has 18 divisors (see below), whose sum is σ = 27808111141538. Its totient is φ = 3667003666992.

The previous prime is 11001011001007. The next prime is 11001011001037. The reversal of 11001011001012 is 21010011010011.

It can be written as a sum of positive squares in only one way, i.e., 6778503845136 + 4222507155876 = 2603556^2 + 2054874^2 .

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

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 = 11001011000985 and 11001011001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152791819423 + ... + 152791819494.

Almost surely, 2^{11001011001012} is an apocalyptic number.

11001011001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001011001012 is an abundant number, since it is smaller than the sum of its proper divisors (16807100140526).

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

11001011001012 is a wasteful number, since it uses less digits than its factorization.

11001011001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305583638927 (or 305583638922 counting only the distinct ones).

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

Adding to 11001011001012 its reverse (21010011010011), we get a palindrome (32011022011023).

The spelling of 11001011001012 in words is "eleven trillion, one billion, eleven million, one thousand, twelve".