2102111012093 has 2 divisors, whose sum is σ = 2102111012094. Its totient is φ = 2102111012092.

The previous prime is 2102111012077. The next prime is 2102111012147. The reversal of 2102111012093 is 3902101112012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1954130001604 + 147981010489 = 1397902^2 + 384683^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102111012093 - 2⁴ = 2102111012077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102111012033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055506046 + 1051055506047.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055506047).

Almost surely, 2^{2102111012093} is an apocalyptic number.

It is an amenable number.

2102111012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111012093 is an equidigital number, since it uses as much as digits as its factorization.

2102111012093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 2102111012093 in words is "two trillion, one hundred two billion, one hundred eleven million, twelve thousand, ninety-three".