11221012221201 has 24 divisors (see below), whose sum is σ = 16646655490920. Its totient is φ = 7278289261056.

The previous prime is 11221012221131. The next prime is 11221012221337. The reversal of 11221012221201 is 10212221012211.

11221012221201 is a `hidden beast` number, since 11 + 221 + 0 + 12 + 221 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7164107262225 + 4056904958976 = 2676585^2 + 2014176^2 .

It is not a de Polignac number, because 11221012221201 - 2²² = 11221008026897 is a prime.

It is a super-3 number, since 3×11221012221201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11221012221101) 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, 11835595 + ... + 12748463.

It is an arithmetic number, because the mean of its divisors is an integer number (693610645455).

Almost surely, 2^{11221012221201} is an apocalyptic number.

It is an amenable number.

11221012221201 is a deficient number, since it is larger than the sum of its proper divisors (5425643269719).

11221012221201 is a wasteful number, since it uses less digits than its factorization.

11221012221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949825 (or 949822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221012221201 its reverse (10212221012211), we get a palindrome (21433233233412).

The spelling of 11221012221201 in words is "eleven trillion, two hundred twenty-one billion, twelve million, two hundred twenty-one thousand, two hundred one".