10201000100189 has 2 divisors, whose sum is σ = 10201000100190. Its totient is φ = 10201000100188.

The previous prime is 10201000100173. The next prime is 10201000100231. The reversal of 10201000100189 is 98100100010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9563370700900 + 637629399289 = 3092470^2 + 798517^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201000100189 - 2⁴ = 10201000100173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201000100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100500050094 + 5100500050095.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500050095).

Almost surely, 2^{10201000100189} is an apocalyptic number.

It is an amenable number.

10201000100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201000100189 is an equidigital number, since it uses as much as digits as its factorization.

10201000100189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10201000100189 in words is "ten trillion, two hundred one billion, one hundred thousand, one hundred eighty-nine".