21011111111012 has 36 divisors (see below), whose sum is σ = 42173218371648. Its totient is φ = 9135265695600.

The previous prime is 21011111110993. The next prime is 21011111111027.

21011111111012 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21011111111012³ (a number of 41 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 943714664 + ... + 943736927.

Almost surely, 2^{21011111111012} is an apocalyptic number.

21011111111012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21011111111012 is an abundant number, since it is smaller than the sum of its proper divisors (21162107260636).

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

21011111111012 is a wasteful number, since it uses less digits than its factorization.

21011111111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887451640 (or 1887451627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 2101111 and 1111012, that multiplied together give a palindrome (2334359534332).

The spelling of 21011111111012 in words is "twenty-one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, twelve".