2112121110101 has 2 divisors, whose sum is σ = 2112121110102. Its totient is φ = 2112121110100.

The previous prime is 2112121110067. The next prime is 2112121110103. The reversal of 2112121110101 is 1010111212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1196291250001 + 915829860100 = 1093751^2 + 956990^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121110101 - 2³⁰ = 2111047368277 is a prime.

It is a super-2 number, since 2×2112121110101² (a number of 25 digits) contains 22 as substring.

Together with 2112121110103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112121110103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060555050 + 1056060555051.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060555051).

Almost surely, 2^{2112121110101} is an apocalyptic number.

It is an amenable number.

2112121110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112121110101 is an equidigital number, since it uses as much as digits as its factorization.

2112121110101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2112121110101 its reverse (1010111212112), we get a palindrome (3122232322213).

It can be divided in two parts, 2112121 and 110101, that added together give a palindrome (2222222).

The spelling of 2112121110101 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".