21011001011100 has 108 divisors (see below), whose sum is σ = 65871152788896. Its totient is φ = 5601798908160.

The previous prime is 21011001011083. The next prime is 21011001011111. The reversal of 21011001011100 is 111010011012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2087224 + ... + 6810176.

Almost surely, 2^{21011001011100} is an apocalyptic number.

21011001011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011001011100 is an abundant number, since it is smaller than the sum of its proper divisors (44860151777796).

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

21011001011100 is a wasteful number, since it uses less digits than its factorization.

21011001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727916 (or 4727906 counting only the distinct ones).

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

Adding to 21011001011100 its reverse (111010011012), we get a palindrome (21122011022112).

The spelling of 21011001011100 in words is "twenty-one trillion, eleven billion, one million, eleven thousand, one hundred".