21101021111100 has 216 divisors, whose sum is σ = 71723181641328. Its totient is φ = 4775336832000.

The previous prime is 21101021111057. The next prime is 21101021111111. The reversal of 21101021111100 is 111112010112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5621457 + ... + 8590856.

It is an arithmetic number, because the mean of its divisors is an integer number (332051766858).

Almost surely, 2^{21101021111100} is an apocalyptic number.

21101021111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101021111100 is an abundant number, since it is smaller than the sum of its proper divisors (50622160530228).

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

21101021111100 is a wasteful number, since it uses less digits than its factorization.

21101021111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212445 (or 14212431 counting only the distinct ones).

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

Adding to 21101021111100 its reverse (111112010112), we get a palindrome (21212133121212).

The spelling of 21101021111100 in words is "twenty-one trillion, one hundred one billion, twenty-one million, one hundred eleven thousand, one hundred".