2211110101011 has 12 divisors (see below), whose sum is σ = 3429476891592. Its totient is φ = 1263491486208.

The previous prime is 2211110100973. The next prime is 2211110101087. The reversal of 2211110101011 is 1101010111122.

It is not a de Polignac number, because 2211110101011 - 2⁹ = 2211110100499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211110100011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7520782510 + ... + 7520782803.

It is an arithmetic number, because the mean of its divisors is an integer number (285789740966).

Almost surely, 2^{2211110101011} is an apocalyptic number.

2211110101011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2211110101011 is a deficient number, since it is larger than the sum of its proper divisors (1218366790581).

2211110101011 is a wasteful number, since it uses less digits than its factorization.

2211110101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15041565330 (or 15041565323 counting only the distinct ones).

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

Adding to 2211110101011 its reverse (1101010111122), we get a palindrome (3312120212133).

The spelling of 2211110101011 in words is "two trillion, two hundred eleven billion, one hundred ten million, one hundred one thousand, eleven".