2101111010093 has 2 divisors, whose sum is σ = 2101111010094. Its totient is φ = 2101111010092.

The previous prime is 2101111010087. The next prime is 2101111010143. The reversal of 2101111010093 is 3900101111012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1867669357129 + 233441652964 = 1366627^2 + 483158^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101111010093 - 2²⁴ = 2101094232877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101111030093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555505046 + 1050555505047.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555505047).

Almost surely, 2^{2101111010093} is an apocalyptic number.

It is an amenable number.

2101111010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101111010093 is an equidigital number, since it uses as much as digits as its factorization.

2101111010093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 2101111010093 in words is "two trillion, one hundred one billion, one hundred eleven million, ten thousand, ninety-three".