2211101110101 has 32 divisors (see below), whose sum is σ = 3187335795840. Its totient is φ = 1355356134144.

The previous prime is 2211101110073. The next prime is 2211101110133. The reversal of 2211101110101 is 1010111011122.

It is not a de Polignac number, because 2211101110101 - 2¹⁵ = 2211101077333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211101110601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63379675 + ... + 63414551.

It is an arithmetic number, because the mean of its divisors is an integer number (99604243620).

Almost surely, 2^{2211101110101} is an apocalyptic number.

It is an amenable number.

2211101110101 is a deficient number, since it is larger than the sum of its proper divisors (976234685739).

2211101110101 is a wasteful number, since it uses less digits than its factorization.

2211101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41205.

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

Adding to 2211101110101 its reverse (1010111011122), we get a palindrome (3221212121223).

The spelling of 2211101110101 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred one".