10011011000010 has 96 divisors (see below), whose sum is σ = 26175516083712. Its totient is φ = 2447513642880.

The previous prime is 10011010999981. The next prime is 10011011000033. The reversal of 10011011000010 is 1000011011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14573589 + ... + 15245048.

It is an arithmetic number, because the mean of its divisors is an integer number (272661625872).

Almost surely, 2^{10011011000010} is an apocalyptic number.

10011011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011011000010 is an abundant number, since it is smaller than the sum of its proper divisors (16164505083702).

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

10011011000010 is a wasteful number, since it uses less digits than its factorization.

10011011000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29818716 (or 29818697 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011011000010 its reverse (1000011011001), we get a palindrome (11011022011011).

The spelling of 10011011000010 in words is "ten trillion, eleven billion, eleven million, ten", and thus it is an aban number and an uban number.