211221201102001 has 2 divisors, whose sum is σ = 211221201102002. Its totient is φ = 211221201102000.

The previous prime is 211221201101941. The next prime is 211221201102083. The reversal of 211221201102001 is 100201102122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130576329000000 + 80644872102001 = 11427000^2 + 8980249^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221201102001 - 2²⁵ = 211221167547569 is a prime.

It is a super-2 number, since 2×211221201102001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211221201103001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610600551000 + 105610600551001.

It is an arithmetic number, because the mean of its divisors is an integer number (105610600551001).

Almost surely, 2^{211221201102001} is an apocalyptic number.

It is an amenable number.

211221201102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221201102001 is an equidigital number, since it uses as much as digits as its factorization.

211221201102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221201102001 its reverse (100201102122112), we get a palindrome (311422303224113).

The spelling of 211221201102001 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred two thousand, one".