21011011011012 has 96 divisors (see below), whose sum is σ = 54610946377344. Its totient is φ = 6233916211200.

The previous prime is 21011011010993. The next prime is 21011011011017.

21011011011012 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21011011011012³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21011011011017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637789 + ... + 9278052.

It is an arithmetic number, because the mean of its divisors is an integer number (568864024764).

Almost surely, 2^{21011011011012} is an apocalyptic number.

21011011011012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21011011011012 is an abundant number, since it is smaller than the sum of its proper divisors (33599935366332).

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

21011011011012 is a wasteful number, since it uses less digits than its factorization.

21011011011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15916069 (or 15916067 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2101101 and 1011012, that multiplied together give a palindrome (2124238324212).

The spelling of 21011011011012 in words is "twenty-one trillion, eleven billion, eleven million, eleven thousand, twelve".