2211120001001 has 2 divisors, whose sum is σ = 2211120001002. Its totient is φ = 2211120001000.

The previous prime is 2211120000983. The next prime is 2211120001133. The reversal of 2211120001001 is 1001000211122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2204999285776 + 6120715225 = 1484924^2 + 78235^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211120001001 - 2³⁸ = 1936242094057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211120001201) 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, 1105560000500 + 1105560000501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105560000501).

Almost surely, 2^{2211120001001} is an apocalyptic number.

It is an amenable number.

2211120001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211120001001 is an equidigital number, since it uses as much as digits as its factorization.

2211120001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2211120001001 its reverse (1001000211122), we get a palindrome (3212120212123).

The spelling of 2211120001001 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one thousand, one".