2111121101 has 2 divisors, whose sum is σ = 2111121102. Its totient is φ = 2111121100.

The previous prime is 2111121083. The next prime is 2111121139. The reversal of 2111121101 is 1011211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1509400201 + 601720900 = 38851^2 + 24530^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121101 - 2¹⁴ = 2111104717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560550 + 1055560551.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560551).

Almost surely, 2^2111121101 is an apocalyptic number.

It is an amenable number.

2111121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121101 is an equidigital number, since it uses as much as digits as its factorization.

2111121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

The square root of 2111121101 is about 45946.9378849124. The cubic root of 2111121101 is about 1282.8357339013.

Adding to 2111121101 its reverse (1011211112), we get a palindrome (3122332213).

The spelling of 2111121101 in words is "two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".