211122212020001 has 2 divisors, whose sum is σ = 211122212020002. Its totient is φ = 211122212020000.

The previous prime is 211122212019977. The next prime is 211122212020019. The reversal of 211122212020001 is 100020212221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208387240269376 + 2734971750625 = 14435624^2 + 1653775^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122212020001 - 2¹⁴ = 211122212003617 is a prime.

It is not a weakly prime, because it can be changed into another prime (211122212020801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561106010000 + 105561106010001.

It is an arithmetic number, because the mean of its divisors is an integer number (105561106010001).

Almost surely, 2^{211122212020001} is an apocalyptic number.

It is an amenable number.

211122212020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122212020001 is an equidigital number, since it uses as much as digits as its factorization.

211122212020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211122212020001 its reverse (100020212221112), we get a palindrome (311142424241113).

The spelling of 211122212020001 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twenty thousand, one".