2211111211001 has 64 divisors (see below), whose sum is σ = 2984663531520. Its totient is φ = 1585127439360.

The previous prime is 2211111210953. The next prime is 2211111211021. The reversal of 2211111211001 is 1001121111122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2211111211001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211111211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50611595 + ... + 50655263.

It is an arithmetic number, because the mean of its divisors is an integer number (46635367680).

Almost surely, 2^{2211111211001} is an apocalyptic number.

It is an amenable number.

2211111211001 is a deficient number, since it is larger than the sum of its proper divisors (773552320519).

2211111211001 is a wasteful number, since it uses less digits than its factorization.

2211111211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44574.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2211111211001 its reverse (1001121111122), we get a palindrome (3212232322123).

The spelling of 2211111211001 in words is "two trillion, two hundred eleven billion, one hundred eleven million, two hundred eleven thousand, one".