2221110100020 has 384 divisors, whose sum is σ = 7520023203840. Its totient is φ = 478501724160.

The previous prime is 2221110100019. The next prime is 2221110100031. The reversal of 2221110100020 is 200010111222.

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 = 2221110099969 and 2221110100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2273397772 + ... + 2273398748.

It is an arithmetic number, because the mean of its divisors is an integer number (19583393760).

Almost surely, 2^{2221110100020} is an apocalyptic number.

2221110100020 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 2221110100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760011601920).

2221110100020 is an abundant number, since it is smaller than the sum of its proper divisors (5298913103820).

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

2221110100020 is a wasteful number, since it uses less digits than its factorization.

2221110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2221110100020 its reverse (200010111222), we get a palindrome (2421120211242).

The spelling of 2221110100020 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, twenty".