10011001011012 has 72 divisors (see below), whose sum is σ = 25388443680600. Its totient is φ = 3326086084608.

The previous prime is 10011001011001. The next prime is 10011001011059. The reversal of 10011001011012 is 21011010011001.

It can be written as a sum of positive squares in 4 ways, for example, as 453109381956 + 9557891629056 = 673134^2 + 3091584^2 .

It is a super-2 number, since 2×10011001011012² (a number of 27 digits) contains 22 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 = 10011001010985 and 10011001011003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19761588 + ... + 20261844.

Almost surely, 2^{10011001011012} is an apocalyptic number.

10011001011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011001011012 is an abundant number, since it is smaller than the sum of its proper divisors (15377442669588).

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

10011001011012 is a wasteful number, since it uses less digits than its factorization.

10011001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502085 (or 502080 counting only the distinct ones).

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

Adding to 10011001011012 its reverse (21011010011001), we get a palindrome (31022011022013).

The spelling of 10011001011012 in words is "ten trillion, eleven billion, one million, eleven thousand, twelve".