2011210120093 has 2 divisors, whose sum is σ = 2011210120094. Its totient is φ = 2011210120092.

The previous prime is 2011210120091. The next prime is 2011210120151. The reversal of 2011210120093 is 3900210121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1965483429849 + 45726690244 = 1401957^2 + 213838^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011210120093 - 2¹ = 2011210120091 is a prime.

It is a super-3 number, since 3×2011210120093³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2011210120091, 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 (2011210120091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005605060046 + 1005605060047.

It is an arithmetic number, because the mean of its divisors is an integer number (1005605060047).

Almost surely, 2^{2011210120093} is an apocalyptic number.

It is an amenable number.

2011210120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011210120093 is an equidigital number, since it uses as much as digits as its factorization.

2011210120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 2011210120093 its reverse (3900210121102), we get a palindrome (5911420241195).

The spelling of 2011210120093 in words is "two trillion, eleven billion, two hundred ten million, one hundred twenty thousand, ninety-three".