4221001020 has 96 divisors (see below), whose sum is σ = 11959295040. Its totient is φ = 1112279040.

The previous prime is 4221000967. The next prime is 4221001133. The reversal of 4221001020 is 201001224.

It is a super-2 number, since 2×4221001020² = 35633699221682080800, which 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 = 4221000987 and 4221001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537544 + ... + 3538736.

It is an arithmetic number, because the mean of its divisors is an integer number (124575990).

Almost surely, 2^4221001020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979647520).

4221001020 is an abundant number, since it is smaller than the sum of its proper divisors (7738294020).

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

4221001020 is a wasteful number, since it uses less digits than its factorization.

4221001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4221001020 is about 64969.2313329933. The cubic root of 4221001020 is about 1616.1133546069.

Adding to 4221001020 its reverse (201001224), we get a palindrome (4422002244).

The spelling of 4221001020 in words is "four billion, two hundred twenty-one million, one thousand, twenty".