2211120101011 has 8 divisors (see below), whose sum is σ = 2237788166544. Its totient is φ = 2184452703840.

The previous prime is 2211120100999. The next prime is 2211120101023. The reversal of 2211120101011 is 1101010211122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2211120100999) and next prime (2211120101023).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2211120101011 - 2¹¹ = 2211120098963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211120100982 and 2211120101000.

It is not an unprimeable number, because it can be changed into a prime (2211120101611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10811281 + ... + 11013901.

It is an arithmetic number, because the mean of its divisors is an integer number (279723520818).

Almost surely, 2^{2211120101011} is an apocalyptic number.

2211120101011 is a deficient number, since it is larger than the sum of its proper divisors (26668065533).

2211120101011 is a wasteful number, since it uses less digits than its factorization.

2211120101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334181.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211120101011 its reverse (1101010211122), we get a palindrome (3312130312133).

The spelling of 2211120101011 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one hundred one thousand, eleven".