4220100000 has 360 divisors, whose sum is σ = 15542778636. Its totient is φ = 1123200000.

The previous prime is 4220099969. The next prime is 4220100011. The reversal of 4220100000 is 10224.

It can be written as a sum of positive squares in 6 ways, for example, as 848207376 + 3371892624 = 29124^2 + 58068^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 8099740 + ... + 8100260.

Almost surely, 2^4220100000 is an apocalyptic number.

4220100000 is a gapful number since it is divisible by the number (40) 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 4220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771389318).

4220100000 is an abundant number, since it is smaller than the sum of its proper divisors (11322678636).

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

4220100000 is an frugal number, since it uses more digits than its factorization.

4220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4220100000 is about 64962.2967574269. The cubic root of 4220100000 is about 1615.9983539179.

Adding to 4220100000 its reverse (10224), we get a palindrome (4220110224).

The spelling of 4220100000 in words is "four billion, two hundred twenty million, one hundred thousand".