10011010011012 has 48 divisors (see below), whose sum is σ = 25954853904000. Its totient is φ = 3336954029280.

The previous prime is 10011010011007. The next prime is 10011010011031. The reversal of 10011010011012 is 21011001011001.

It is a super-2 number, since 2×10011010011012² (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 = 10011010010985 and 10011010011003.

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, 7061962 + ... + 8360222.

It is an arithmetic number, because the mean of its divisors is an integer number (540726123000).

Almost surely, 2^{10011010011012} is an apocalyptic number.

10011010011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011010011012 is an abundant number, since it is smaller than the sum of its proper divisors (15943843892988).

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

10011010011012 is a wasteful number, since it uses less digits than its factorization.

10011010011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369673 (or 1369665 counting only the distinct ones).

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

Adding to 10011010011012 its reverse (21011001011001), we get a palindrome (31022011022013).

The spelling of 10011010011012 in words is "ten trillion, eleven billion, ten million, eleven thousand, twelve".