2102111201093 has 2 divisors, whose sum is σ = 2102111201094. Its totient is φ = 2102111201092.

The previous prime is 2102111201087. The next prime is 2102111201101. The reversal of 2102111201093 is 3901021112012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088423839044 + 13687362049 = 1445138^2 + 116993^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102111201093 - 2¹⁶ = 2102111135557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102111201693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055600546 + 1051055600547.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055600547).

Almost surely, 2^{2102111201093} is an apocalyptic number.

It is an amenable number.

2102111201093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111201093 is an equidigital number, since it uses as much as digits as its factorization.

2102111201093 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 23.

The spelling of 2102111201093 in words is "two trillion, one hundred two billion, one hundred eleven million, two hundred one thousand, ninety-three".