21112122111100 has 72 divisors (see below), whose sum is σ = 45902641487360. Its totient is φ = 8428385085120.

The previous prime is 21112122111053. The next prime is 21112122111107. The reversal of 21112122111100 is 111122121112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112122111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581278741 + ... + 581315059.

Almost surely, 2^{21112122111100} is an apocalyptic number.

21112122111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112122111100 is an abundant number, since it is smaller than the sum of its proper divisors (24790519376260).

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

21112122111100 is a wasteful number, since it uses less digits than its factorization.

21112122111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47507 (or 47500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21112122111100 its reverse (111122121112), we get a palindrome (21223244232212).

The spelling of 21112122111100 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".