221221101011201 has 8 divisors (see below), whose sum is σ = 221242863191400. Its totient is φ = 221199339449728.

The previous prime is 221221101011137. The next prime is 221221101011227. The reversal of 221221101011201 is 102110101122122.

It can be written as a sum of positive squares in 4 ways, for example, as 107242096562176 + 113979004449025 = 10355776^2 + 10676095^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221221101011201 - 2⁶ = 221221101011137 is a prime.

It is a super-2 number, since 2×221221101011201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221221101011201.

It is not an unprimeable number, because it can be changed into a prime (221221101014201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046604275 + ... + 1046815623.

It is an arithmetic number, because the mean of its divisors is an integer number (27655357898925).

Almost surely, 2^{221221101011201} is an apocalyptic number.

It is an amenable number.

221221101011201 is a deficient number, since it is larger than the sum of its proper divisors (21762180199).

221221101011201 is a wasteful number, since it uses less digits than its factorization.

221221101011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309363.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221221101011201 its reverse (102110101122122), we get a palindrome (323331202133323).

The spelling of 221221101011201 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred one million, eleven thousand, two hundred one".