2101100209973 has 2 divisors, whose sum is σ = 2101100209974. Its totient is φ = 2101100209972.

The previous prime is 2101100209969. The next prime is 2101100209981. The reversal of 2101100209973 is 3799020011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1851322160689 + 249778049284 = 1360633^2 + 499778^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100209973 - 2² = 2101100209969 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101108209973) 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, 1050550104986 + 1050550104987.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550104987).

Almost surely, 2^{2101100209973} is an apocalyptic number.

It is an amenable number.

2101100209973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100209973 is an equidigital number, since it uses as much as digits as its factorization.

2101100209973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 35.

The spelling of 2101100209973 in words is "two trillion, one hundred one billion, one hundred million, two hundred nine thousand, nine hundred seventy-three".