2101111993 has 2 divisors, whose sum is σ = 2101111994. Its totient is φ = 2101111992.

The previous prime is 2101111963. The next prime is 2101112023. The reversal of 2101111993 is 3991111012.

It is a balanced prime because it is at equal distance from previous prime (2101111963) and next prime (2101112023).

It can be written as a sum of positive squares in only one way, i.e., 1913887504 + 187224489 = 43748^2 + 13683^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101111993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101111963) 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, 1050555996 + 1050555997.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555997).

Almost surely, 2^2101111993 is an apocalyptic number.

It is an amenable number.

2101111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101111993 is an equidigital number, since it uses as much as digits as its factorization.

2101111993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The square root of 2101111993 is about 45837.8881821578. Note that the first 3 decimals coincide. The cubic root of 2101111993 is about 1280.8051560663.

The spelling of 2101111993 in words is "two billion, one hundred one million, one hundred eleven thousand, nine hundred ninety-three".