2211101101011 has 16 divisors (see below), whose sum is σ = 3220064448768. Its totient is φ = 1338429026400.

The previous prime is 2211101100947. The next prime is 2211101101061. The reversal of 2211101101011 is 1101011011122.

It is not a de Polignac number, because 2211101101011 - 2⁶ = 2211101100947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211101101061) 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, 40778671 + ... + 40832856.

It is an arithmetic number, because the mean of its divisors is an integer number (201254028048).

Almost surely, 2^{2211101101011} is an apocalyptic number.

2211101101011 is a deficient number, since it is larger than the sum of its proper divisors (1008963347757).

2211101101011 is a wasteful number, since it uses less digits than its factorization.

2211101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81612362.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2211101101011 its reverse (1101011011122), we get a palindrome (3312112112133).

The spelling of 2211101101011 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, eleven".