2101012000091 has 2 divisors, whose sum is σ = 2101012000092. Its totient is φ = 2101012000090.

The previous prime is 2101012000019. The next prime is 2101012000117. The reversal of 2101012000091 is 1900002101012.

Together with previous prime (2101012000019) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101012000091 - 2¹⁸ = 2101011737947 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101012003091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050506000045 + 1050506000046.

It is an arithmetic number, because the mean of its divisors is an integer number (1050506000046).

Almost surely, 2^{2101012000091} is an apocalyptic number.

2101012000091 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101012000091 is an equidigital number, since it uses as much as digits as its factorization.

2101012000091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 2101012000091 in words is "two trillion, one hundred one billion, twelve million, ninety-one", and thus it is an aban number.