2112122110101 has 8 divisors (see below), whose sum is σ = 2816203956960. Its totient is φ = 1408060834992.

The previous prime is 2112122110081. The next prime is 2112122110121. The reversal of 2112122110101 is 1010112212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112122110081) and next prime (2112122110121).

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

It is not a de Polignac number, because 2112122110101 - 2⁷ = 2112122109973 is a prime.

It is a super-2 number, since 2×2112122110101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4901755 + ... + 5315208.

It is an arithmetic number, because the mean of its divisors is an integer number (352025494620).

Almost surely, 2^{2112122110101} is an apocalyptic number.

It is an amenable number.

2112122110101 is a deficient number, since it is larger than the sum of its proper divisors (704081846859).

2112122110101 is a wasteful number, since it uses less digits than its factorization.

2112122110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285875.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112122110101 its reverse (1010112212112), we get a palindrome (3122234322213).

The spelling of 2112122110101 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".