220101001000 has 64 divisors (see below), whose sum is σ = 515357865360. Its totient is φ = 87985440000.

The previous prime is 220101000983. The next prime is 220101001027. The reversal of 220101001000 is 100101022.

It can be written as a sum of positive squares in 8 ways, for example, as 550653156 + 219550347844 = 23466^2 + 468562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553110 + ... + 1688890.

Almost surely, 2^220101001000 is an apocalyptic number.

220101001000 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 220101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257678932680).

220101001000 is an abundant number, since it is smaller than the sum of its proper divisors (295256864360).

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

220101001000 is a wasteful number, since it uses less digits than its factorization.

220101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137423 (or 137409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 220101001000 its reverse (100101022), we get a palindrome (220201102022).

The spelling of 220101001000 in words is "two hundred twenty billion, one hundred one million, one thousand".