100110101021089 has 2 divisors, whose sum is σ = 100110101021090. Its totient is φ = 100110101021088.

The previous prime is 100110101021071. The next prime is 100110101021173. The reversal of 100110101021089 is 980120101011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70588428462864 + 29521672558225 = 8401692^2 + 5433385^2 .

It is an emirp because it is prime and its reverse (980120101011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110101021089 - 2¹¹ = 100110101019041 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110101021069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050510544 + 50055050510545.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050510545).

Almost surely, 2^{100110101021089} is an apocalyptic number.

It is an amenable number.

100110101021089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101021089 is an equidigital number, since it uses as much as digits as its factorization.

100110101021089 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 100110101021089 in words is "one hundred trillion, one hundred ten billion, one hundred one million, twenty-one thousand, eighty-nine".