21001101000220 has 96 divisors (see below), whose sum is σ = 48965725186560. Its totient is φ = 7501825731840.

The previous prime is 21001101000181. The next prime is 21001101000223. The reversal of 21001101000220 is 2200010110012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21001101000197 and 21001101000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001101000223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3307302 + ... + 7276018.

It is an arithmetic number, because the mean of its divisors is an integer number (510059637360).

Almost surely, 2^{21001101000220} is an apocalyptic number.

21001101000220 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 21001101000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482862593280).

21001101000220 is an abundant number, since it is smaller than the sum of its proper divisors (27964624186340).

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

21001101000220 is a wasteful number, since it uses less digits than its factorization.

21001101000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969163 (or 3969161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21001101000220 its reverse (2200010110012), we get a palindrome (23201111110232).

The spelling of 21001101000220 in words is "twenty-one trillion, one billion, one hundred one million, two hundred twenty", and thus it is an aban number.