21201101110020 has 384 divisors, whose sum is σ = 68538312622080. Its totient is φ = 4859137474560.

The previous prime is 21201101109997. The next prime is 21201101110031. The reversal of 21201101110020 is 2001110110212.

It is a super-2 number, since 2×21201101110020² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21201101109978 and 21201101110005.

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 127 ways as a sum of consecutive naturals, for example, 66893044 + ... + 67209236.

It is an arithmetic number, because the mean of its divisors is an integer number (178485189120).

Almost surely, 2^{21201101110020} is an apocalyptic number.

21201101110020 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 21201101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269156311040).

21201101110020 is an abundant number, since it is smaller than the sum of its proper divisors (47337211512060).

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

21201101110020 is a wasteful number, since it uses less digits than its factorization.

21201101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316355 (or 316353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201101110020 its reverse (2001110110212), we get a palindrome (23202211220232).

The spelling of 21201101110020 in words is "twenty-one trillion, two hundred one billion, one hundred one million, one hundred ten thousand, twenty".