21002101101089 has 2 divisors, whose sum is σ = 21002101101090. Its totient is φ = 21002101101088.

The previous prime is 21002101101061. The next prime is 21002101101103. The reversal of 21002101101089 is 98010110120012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13875870851089 + 7126230250000 = 3725033^2 + 2669500^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002101101089 - 2²⁰ = 21002100052513 is a prime.

It is not a weakly prime, because it can be changed into another prime (21002101103089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10501050550544 + 10501050550545.

It is an arithmetic number, because the mean of its divisors is an integer number (10501050550545).

Almost surely, 2^{21002101101089} is an apocalyptic number.

It is an amenable number.

21002101101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002101101089 is an equidigital number, since it uses as much as digits as its factorization.

21002101101089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 21002101101089 in words is "twenty-one trillion, two billion, one hundred one million, one hundred one thousand, eighty-nine".