2111000105101 has 2 divisors, whose sum is σ = 2111000105102. Its totient is φ = 2111000105100.

The previous prime is 2111000105099. The next prime is 2111000105153. The reversal of 2111000105101 is 1015010001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1881821522025 + 229178583076 = 1371795^2 + 478726^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111000105101 - 2¹ = 2111000105099 is a prime.

Together with 2111000105099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111000105171) 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, 1055500052550 + 1055500052551.

It is an arithmetic number, because the mean of its divisors is an integer number (1055500052551).

Almost surely, 2^{2111000105101} is an apocalyptic number.

It is an amenable number.

2111000105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111000105101 is an equidigital number, since it uses as much as digits as its factorization.

2111000105101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 13.

Adding to 2111000105101 its reverse (1015010001112), we get a palindrome (3126010106213).

The spelling of 2111000105101 in words is "two trillion, one hundred eleven billion, one hundred five thousand, one hundred one".