11001000211012 has 72 divisors (see below), whose sum is σ = 22696834997760. Its totient is φ = 4651244881920.

The previous prime is 11001000211009. The next prime is 11001000211013. The reversal of 11001000211012 is 21011200010011.

It is a self number, because there is not a number n which added to its sum of digits gives 11001000211012.

It is not an unprimeable number, because it can be changed into a prime (11001000211013) by changing a digit.

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, 18772228 + ... + 19349380.

Almost surely, 2^{11001000211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001000211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348417498880).

11001000211012 is an abundant number, since it is smaller than the sum of its proper divisors (11695834786748).

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

11001000211012 is a wasteful number, since it uses less digits than its factorization.

11001000211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578481 (or 578472 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001000211012 its reverse (21011200010011), we get a palindrome (32012200221023).

The spelling of 11001000211012 in words is "eleven trillion, one billion, two hundred eleven thousand, twelve".