2221101000 has 320 divisors, whose sum is σ = 8225783280. Its totient is φ = 557107200.

The previous prime is 2221100963. The next prime is 2221101019. The reversal of 2221101000 is 1011222.

It can be written as a sum of positive squares in 8 ways, for example, as 322058916 + 1899042084 = 17946^2 + 43578^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1376194 + ... + 1377806.

Almost surely, 2^2221101000 is an apocalyptic number.

2221101000 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 2221101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112891640).

2221101000 is an abundant number, since it is smaller than the sum of its proper divisors (6004682280).

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

2221101000 is a wasteful number, since it uses less digits than its factorization.

2221101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2221101000 is about 47128.5582211041. The cubic root of 2221101000 is about 1304.7363716380.

Adding to 2221101000 its reverse (1011222), we get a palindrome (2222112222).

The spelling of 2221101000 in words is "two billion, two hundred twenty-one million, one hundred one thousand".