211102010100193 has 2 divisors, whose sum is σ = 211102010100194. Its totient is φ = 211102010100192.

The previous prime is 211102010100173. The next prime is 211102010100227. The reversal of 211102010100193 is 391001010201112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206358051668224 + 4743958431969 = 14365168^2 + 2178063^2 .

It is a cyclic number.

It is not a de Polignac number, because 211102010100193 - 2⁴⁵ = 175917638011361 is a prime.

It is not a weakly prime, because it can be changed into another prime (211102010100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105551005050096 + 105551005050097.

It is an arithmetic number, because the mean of its divisors is an integer number (105551005050097).

Almost surely, 2^{211102010100193} is an apocalyptic number.

It is an amenable number.

211102010100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211102010100193 is an equidigital number, since it uses as much as digits as its factorization.

211102010100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 211102010100193 in words is "two hundred eleven trillion, one hundred two billion, ten million, one hundred thousand, one hundred ninety-three".