2221101001020 has 1152 divisors, whose sum is σ = 7813515902976. Its totient is φ = 468357120000.

The previous prime is 2221101001013. The next prime is 2221101001057. The reversal of 2221101001020 is 201001011222.

2221101001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2221101000987 and 2221101001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17488984197 + ... + 17488984323.

It is an arithmetic number, because the mean of its divisors is an integer number (6782565888).

Almost surely, 2^{2221101001020} is an apocalyptic number.

2221101001020 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 2221101001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906757951488).

2221101001020 is an abundant number, since it is smaller than the sum of its proper divisors (5592414901956).

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

2221101001020 is a wasteful number, since it uses less digits than its factorization.

2221101001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

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

Adding to 2221101001020 its reverse (201001011222), we get a palindrome (2422102012242).

The spelling of 2221101001020 in words is "two trillion, two hundred twenty-one billion, one hundred one million, one thousand, twenty".