2211100112101 has 2 divisors, whose sum is σ = 2211100112102. Its totient is φ = 2211100112100.

The previous prime is 2211100112099. The next prime is 2211100112129. The reversal of 2211100112101 is 1012110011122.

It is a happy number.

2211100112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1984308909025 + 226791203076 = 1408655^2 + 476226^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211100112101 - 2¹ = 2211100112099 is a prime.

It is a super-3 number, since 3×2211100112101³ (a number of 38 digits) contains 333 as substring.

Together with 2211100112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211100112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550056050 + 1105550056051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550056051).

Almost surely, 2^{2211100112101} is an apocalyptic number.

It is an amenable number.

2211100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211100112101 is an equidigital number, since it uses as much as digits as its factorization.

2211100112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211100112101 its reverse (1012110011122), we get a palindrome (3223210123223).

The spelling of 2211100112101 in words is "two trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred one".