21102110221120 has 224 divisors, whose sum is σ = 51911065900800. Its totient is φ = 8166899220480.

The previous prime is 21102110221111. The next prime is 21102110221123. The reversal of 21102110221120 is 2112201120112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21102110221094 and 21102110221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102110221123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 381351855 + ... + 381407185.

Almost surely, 2^{21102110221120} is an apocalyptic number.

21102110221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955532950400).

21102110221120 is an abundant number, since it is smaller than the sum of its proper divisors (30808955679680).

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

21102110221120 is a wasteful number, since it uses less digits than its factorization.

21102110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55713 (or 55703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21102110221120 its reverse (2112201120112), we get a palindrome (23214311341232).

The spelling of 21102110221120 in words is "twenty-one trillion, one hundred two billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".