2221010100 has 108 divisors (see below), whose sum is σ = 7149892204. Its totient is φ = 576253440.

The previous prime is 2221010093. The next prime is 2221010107. The reversal of 2221010100 is 10101222.

It is an interprime number because it is at equal distance from previous prime (2221010093) and next prime (2221010107).

It can be written as a sum of positive squares in 6 ways, for example, as 159668496 + 2061341604 = 12636^2 + 45402^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221010107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49 + ... + 66648.

Almost surely, 2^2221010100 is an apocalyptic number.

2221010100 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 2221010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574946102).

2221010100 is an abundant number, since it is smaller than the sum of its proper divisors (4928882104).

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

2221010100 is a wasteful number, since it uses less digits than its factorization.

2221010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754 (or 66744 counting only the distinct ones).

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

The square root of 2221010100 is about 47127.5938278202. The cubic root of 2221010100 is about 1304.7185723342.

Adding to 2221010100 its reverse (10101222), we get a palindrome (2231111322).

The spelling of 2221010100 in words is "two billion, two hundred twenty-one million, ten thousand, one hundred".