22011220101001 has 2 divisors, whose sum is σ = 22011220101002. Its totient is φ = 22011220101000.

The previous prime is 22011220100963. The next prime is 22011220101019. The reversal of 22011220101001 is 10010102211022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16638861013776 + 5372359087225 = 4079076^2 + 2317835^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011220101001 - 2⁹ = 22011220100489 is a prime.

It is not a weakly prime, because it can be changed into another prime (22011220101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005610050500 + 11005610050501.

It is an arithmetic number, because the mean of its divisors is an integer number (11005610050501).

Almost surely, 2^{22011220101001} is an apocalyptic number.

It is an amenable number.

22011220101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011220101001 is an equidigital number, since it uses as much as digits as its factorization.

22011220101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22011220101001 its reverse (10010102211022), we get a palindrome (32021322312023).

The spelling of 22011220101001 in words is "twenty-two trillion, eleven billion, two hundred twenty million, one hundred one thousand, one".