10042100100089 has 2 divisors, whose sum is σ = 10042100100090. Its totient is φ = 10042100100088.

The previous prime is 10042100100073. The next prime is 10042100100119. The reversal of 10042100100089 is 98000100124001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10007479171600 + 34620928489 = 3163460^2 + 186067^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042100100089 - 2⁴ = 10042100100073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10042100100049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021050050044 + 5021050050045.

It is an arithmetic number, because the mean of its divisors is an integer number (5021050050045).

Almost surely, 2^{10042100100089} is an apocalyptic number.

It is an amenable number.

10042100100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042100100089 is an equidigital number, since it uses as much as digits as its factorization.

10042100100089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10042100100089 in words is "ten trillion, forty-two billion, one hundred million, one hundred thousand, eighty-nine".