2112211031101 has 16 divisors (see below), whose sum is σ = 2128178707200. Its totient is φ = 2096311486528.

The previous prime is 2112211031093. The next prime is 2112211031107. The reversal of 2112211031101 is 1011301122112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2112211031101 - 2³ = 2112211031093 is a prime.

It is a super-2 number, since 2×2112211031101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211031107) 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 15 ways as a sum of consecutive naturals, for example, 127640910 + ... + 127657456.

It is an arithmetic number, because the mean of its divisors is an integer number (133011169200).

Almost surely, 2^{2112211031101} is an apocalyptic number.

It is an amenable number.

2112211031101 is a deficient number, since it is larger than the sum of its proper divisors (15967676099).

2112211031101 is a wasteful number, since it uses less digits than its factorization.

2112211031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18548.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2112211031101 its reverse (1011301122112), we get a palindrome (3123512153213).

The spelling of 2112211031101 in words is "two trillion, one hundred twelve billion, two hundred eleven million, thirty-one thousand, one hundred one".