210110100101089 has 2 divisors, whose sum is σ = 210110100101090. Its totient is φ = 210110100101088.

The previous prime is 210110100101063. The next prime is 210110100101101. The reversal of 210110100101089 is 980101001011012.

210110100101089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209431837497600 + 678262603489 = 14471760^2 + 823567^2 .

It is a cyclic number.

It is not a de Polignac number, because 210110100101089 - 2¹⁵ = 210110100068321 is a prime.

It is not a weakly prime, because it can be changed into another prime (210110100101039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105055050050544 + 105055050050545.

It is an arithmetic number, because the mean of its divisors is an integer number (105055050050545).

Almost surely, 2^{210110100101089} is an apocalyptic number.

It is an amenable number.

210110100101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

210110100101089 is an equidigital number, since it uses as much as digits as its factorization.

210110100101089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 210110100101089 in words is "two hundred ten trillion, one hundred ten billion, one hundred million, one hundred one thousand, eighty-nine".