2111121021101 has 2 divisors, whose sum is σ = 2111121021102. Its totient is φ = 2111121021100.

The previous prime is 2111121021071. The next prime is 2111121021103. The reversal of 2111121021101 is 1011201211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109102675625 + 2018345476 = 1452275^2 + 44926^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121021101 - 2³⁴ = 2093941151917 is a prime.

Together with 2111121021103, 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 (2111121021103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560510550 + 1055560510551.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560510551).

Almost surely, 2^{2111121021101} is an apocalyptic number.

It is an amenable number.

2111121021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121021101 is an equidigital number, since it uses as much as digits as its factorization.

2111121021101 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 2111121021101 its reverse (1011201211112), we get a palindrome (3122322232213).

The spelling of 2111121021101 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred one".