22101100001201 has 16 divisors (see below), whose sum is σ = 25546476980304. Its totient is φ = 18937928853504.

The previous prime is 22101100001191. The next prime is 22101100001207. The reversal of 22101100001201 is 10210000110122.

It can be written as a sum of positive squares in 8 ways, for example, as 41883669025 + 22059216332176 = 204655^2 + 4696724^2 .

It is not a de Polignac number, because 22101100001201 - 2²² = 22101095806897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101100001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684949466 + ... + 684981731.

It is an arithmetic number, because the mean of its divisors is an integer number (1596654811269).

Almost surely, 2^{22101100001201} is an apocalyptic number.

It is an amenable number.

22101100001201 is a deficient number, since it is larger than the sum of its proper divisors (3445376979103).

22101100001201 is a wasteful number, since it uses less digits than its factorization.

22101100001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369931300.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22101100001201 its reverse (10210000110122), we get a palindrome (32311100111323).

The spelling of 22101100001201 in words is "twenty-two trillion, one hundred one billion, one hundred million, one thousand, two hundred one".