10111011000012 has 72 divisors (see below), whose sum is σ = 27529260870384. Its totient is φ = 3110533013376.

The previous prime is 10111011000001. The next prime is 10111011000059. The reversal of 10111011000012 is 21000011011101.

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 = 10111010999958 and 10111011000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766843 + ... + 4561805.

It is an arithmetic number, because the mean of its divisors is an integer number (382350845422).

Almost surely, 2^{10111011000012} is an apocalyptic number.

10111011000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111011000012 is an abundant number, since it is smaller than the sum of its proper divisors (17418249870372).

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

10111011000012 is a wasteful number, since it uses less digits than its factorization.

10111011000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800679 (or 3800674 counting only the distinct ones).

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

Adding to 10111011000012 its reverse (21000011011101), we get a palindrome (31111022011113).

The spelling of 10111011000012 in words is "ten trillion, one hundred eleven billion, eleven million, twelve", and thus it is an aban number.