2210111111011 has 16 divisors (see below), whose sum is σ = 2238044110848. Its totient is φ = 2182347468000.

The previous prime is 2210111111003. The next prime is 2210111111023. The reversal of 2210111111011 is 1101111110122.

It is a cyclic number.

It is not a de Polignac number, because 2210111111011 - 2³ = 2210111111003 is a prime.

It is a super-2 number, since 2×2210111111011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2210111110982 and 2210111111000.

It is not an unprimeable number, because it can be changed into a prime (2210111111071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172780026 + ... + 172792816.

It is an arithmetic number, because the mean of its divisors is an integer number (139877756928).

Almost surely, 2^{2210111111011} is an apocalyptic number.

2210111111011 is a deficient number, since it is larger than the sum of its proper divisors (27932999837).

2210111111011 is a wasteful number, since it uses less digits than its factorization.

2210111111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19242.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2210111111011 its reverse (1101111110122), we get a palindrome (3311222221133).

The spelling of 2210111111011 in words is "two trillion, two hundred ten billion, one hundred eleven million, one hundred eleven thousand, eleven".