2122221101011 has 16 divisors (see below), whose sum is σ = 2323318111488. Its totient is φ = 1922494140000.

The previous prime is 2122221100997. The next prime is 2122221101023. The reversal of 2122221101011 is 1101011222212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122221101011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122221101711) 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, 4652386 + ... + 5088136.

It is an arithmetic number, because the mean of its divisors is an integer number (145207381968).

Almost surely, 2^{2122221101011} is an apocalyptic number.

2122221101011 is a deficient number, since it is larger than the sum of its proper divisors (201097010477).

2122221101011 is a wasteful number, since it uses less digits than its factorization.

2122221101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437322.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122221101011 its reverse (1101011222212), we get a palindrome (3223232323223).

The spelling of 2122221101011 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, eleven".