2011101021973 has 2 divisors, whose sum is σ = 2011101021974. Its totient is φ = 2011101021972.

The previous prime is 2011101021967. The next prime is 2011101022097. The reversal of 2011101021973 is 3791201011102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1918355192209 + 92745829764 = 1385047^2 + 304542^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011101021973 - 2²⁹ = 2010564151061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011101021073) 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, 1005550510986 + 1005550510987.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550510987).

Almost surely, 2^{2011101021973} is an apocalyptic number.

It is an amenable number.

2011101021973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011101021973 is an equidigital number, since it uses as much as digits as its factorization.

2011101021973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 28.

The spelling of 2011101021973 in words is "two trillion, eleven billion, one hundred one million, twenty-one thousand, nine hundred seventy-three".