2112101211101 has 6 divisors (see below), whose sum is σ = 2456934061950. Its totient is φ = 1810372466616.

The previous prime is 2112101211071. The next prime is 2112101211113. The reversal of 2112101211101 is 1011121012112.

It can be written as a sum of positive squares in only one way, i.e., 2110122295876 + 1978915225 = 1452626^2 + 44485^2 .

It is not a de Polignac number, because 2112101211101 - 2³⁰ = 2111027469277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112101211161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21552053126 + ... + 21552053223.

It is an arithmetic number, because the mean of its divisors is an integer number (409489010325).

Almost surely, 2^{2112101211101} is an apocalyptic number.

It is an amenable number.

2112101211101 is a deficient number, since it is larger than the sum of its proper divisors (344832850849).

2112101211101 is an equidigital number, since it uses as much as digits as its factorization.

2112101211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43104106363 (or 43104106356 counting only the distinct ones).

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

Adding to 2112101211101 its reverse (1011121012112), we get a palindrome (3123222223213).

The spelling of 2112101211101 in words is "two trillion, one hundred twelve billion, one hundred one million, two hundred eleven thousand, one hundred one".