22112013001001 has 64 divisors (see below), whose sum is σ = 28602450432000. Its totient is φ = 16942562380800.

The previous prime is 22112013000967. The next prime is 22112013001003. The reversal of 22112013001001 is 10010031021122.

It is not a de Polignac number, because 22112013001001 - 2¹⁴ = 22112012984617 is a prime.

It is a super-2 number, since 2×22112013001001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22112013001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101418761 + ... + 101636553.

It is an arithmetic number, because the mean of its divisors is an integer number (446913288000).

Almost surely, 2^{22112013001001} is an apocalyptic number.

It is an amenable number.

22112013001001 is a deficient number, since it is larger than the sum of its proper divisors (6490437430999).

22112013001001 is a wasteful number, since it uses less digits than its factorization.

22112013001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218275 (or 218261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 22112013001001 its reverse (10010031021122), we get a palindrome (32122044022123).

The spelling of 22112013001001 in words is "twenty-two trillion, one hundred twelve billion, thirteen million, one thousand, one".