22112211010001 has 24 divisors (see below), whose sum is σ = 26265056185800. Its totient is φ = 18557238454272.

The previous prime is 22112211009961. The next prime is 22112211010009. The reversal of 22112211010001 is 10001011221122.

It can be written as a sum of positive squares in 4 ways, for example, as 8926590307600 + 13185620702401 = 2987740^2 + 3631201^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22112211010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22112211010009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22071176 + ... + 23051273.

It is an arithmetic number, because the mean of its divisors is an integer number (1094377341075).

Almost surely, 2^{22112211010001} is an apocalyptic number.

It is an amenable number.

22112211010001 is a deficient number, since it is larger than the sum of its proper divisors (4152845175799).

22112211010001 is a wasteful number, since it uses less digits than its factorization.

22112211010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45122673 (or 45122666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22112211010001 its reverse (10001011221122), we get a palindrome (32113222231123).

The spelling of 22112211010001 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, ten thousand, one".