2121200211101 has 2 divisors, whose sum is σ = 2121200211102. Its totient is φ = 2121200211100.

The previous prime is 2121200211077. The next prime is 2121200211103. The reversal of 2121200211101 is 1011120021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571578147876 + 549622063225 = 1253626^2 + 741365^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121200211101 - 2⁶ = 2121200211037 is a prime.

It is a super-3 number, since 3×2121200211101³ (a number of 38 digits) contains 333 as substring.

Together with 2121200211103, 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 (2121200211103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060600105550 + 1060600105551.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600105551).

Almost surely, 2^{2121200211101} is an apocalyptic number.

It is an amenable number.

2121200211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121200211101 is an equidigital number, since it uses as much as digits as its factorization.

2121200211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121200211101 its reverse (1011120021212), we get a palindrome (3132320232313).

The spelling of 2121200211101 in words is "two trillion, one hundred twenty-one billion, two hundred million, two hundred eleven thousand, one hundred one".