2101100020997 has 2 divisors, whose sum is σ = 2101100020998. Its totient is φ = 2101100020996.

The previous prime is 2101100020973. The next prime is 2101100021047. The reversal of 2101100020997 is 7990200011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2052784024516 + 48315996481 = 1432754^2 + 219809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100020997 - 2⁶ = 2101100020933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101100020937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550010498 + 1050550010499.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550010499).

Almost surely, 2^{2101100020997} is an apocalyptic number.

It is an amenable number.

2101100020997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100020997 is an equidigital number, since it uses as much as digits as its factorization.

2101100020997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 2101100020997 in words is "two trillion, one hundred one billion, one hundred million, twenty thousand, nine hundred ninety-seven".