2112111102101 has 24 divisors (see below), whose sum is σ = 2851423043904. Its totient is φ = 1519200783360.

The previous prime is 2112111102071. The next prime is 2112111102119. The reversal of 2112111102101 is 1012011112112.

It is not a de Polignac number, because 2112111102101 - 2⁶ = 2112111102037 is a prime.

It is a super-2 number, since 2×2112111102101² (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 (2112111102601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81140876 + ... + 81166901.

It is an arithmetic number, because the mean of its divisors is an integer number (118809293496).

Almost surely, 2^{2112111102101} is an apocalyptic number.

It is an amenable number.

2112111102101 is a deficient number, since it is larger than the sum of its proper divisors (739311941803).

2112111102101 is a wasteful number, since it uses less digits than its factorization.

2112111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162307821 (or 162307808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112111102101 its reverse (1012011112112), we get a palindrome (3124122214213).

The spelling of 2112111102101 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred two thousand, one hundred one".