22400101 has 6 divisors (see below), whose sum is σ = 23795570. Its totient is φ = 21082176.

The previous prime is 22400087. The next prime is 22400111. The reversal of 22400101 is 10100422.

It can be written as a sum of positive squares in 3 ways, for example, as 16402500 + 5997601 = 4050^2 + 2449^2 .

It is not a de Polignac number, because 22400101 - 2¹¹ = 22398053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38466 + ... + 39043.

Almost surely, 2^22400101 is an apocalyptic number.

It is an amenable number.

22400101 is a deficient number, since it is larger than the sum of its proper divisors (1395469).

22400101 is an equidigital number, since it uses as much as digits as its factorization.

22400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77543 (or 77526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22400101 is about 4732.8744965401. The cubic root of 22400101 is about 281.8923729588.

Adding to 22400101 its reverse (10100422), we get a palindrome (32500523).

The spelling of 22400101 in words is "twenty-two million, four hundred thousand, one hundred one".