101111000002211 has 8 divisors (see below), whose sum is σ = 107058795453360. Its totient is φ = 95163214503168.

The previous prime is 101111000002151. The next prime is 101111000002241. The reversal of 101111000002211 is 112200000111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111000002211 - 2⁴² = 96712953491107 is a prime.

It is a super-2 number, since 2×101111000002211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111000002192 and 101111000002201.

It is not an unprimeable number, because it can be changed into a prime (101111000002241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32434055 + ... + 35414543.

It is an arithmetic number, because the mean of its divisors is an integer number (13382349431670).

Almost surely, 2^{101111000002211} is an apocalyptic number.

101111000002211 is a deficient number, since it is larger than the sum of its proper divisors (5947795451149).

101111000002211 is a wasteful number, since it uses less digits than its factorization.

101111000002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976053.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111000002211 its reverse (112200000111101), we get a palindrome (213311000113312).

The spelling of 101111000002211 in words is "one hundred one trillion, one hundred eleven billion, two thousand, two hundred eleven".