21100012020097 has 2 divisors, whose sum is σ = 21100012020098. Its totient is φ = 21100012020096.

The previous prime is 21100012020079. The next prime is 21100012020173. The reversal of 21100012020097 is 79002021000112.

Together with previous prime (21100012020079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21099975827841 + 36192256 = 4593471^2 + 6016^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100012020097 - 2⁷ = 21100012019969 is a prime.

It is not a weakly prime, because it can be changed into another prime (21100012024097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550006010048 + 10550006010049.

It is an arithmetic number, because the mean of its divisors is an integer number (10550006010049).

Almost surely, 2^{21100012020097} is an apocalyptic number.

It is an amenable number.

21100012020097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100012020097 is an equidigital number, since it uses as much as digits as its factorization.

21100012020097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 21100012020097 in words is "twenty-one trillion, one hundred billion, twelve million, twenty thousand, ninety-seven".