10100010002189 has 2 divisors, whose sum is σ = 10100010002190. Its totient is φ = 10100010002188.

The previous prime is 10100010002179. The next prime is 10100010002197. The reversal of 10100010002189 is 98120001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8009550913225 + 2090459088964 = 2830115^2 + 1445842^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010002189 - 2⁸ = 10100010001933 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010002119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005001094 + 5050005001095.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005001095).

Almost surely, 2^{10100010002189} is an apocalyptic number.

It is an amenable number.

10100010002189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010002189 is an equidigital number, since it uses as much as digits as its factorization.

10100010002189 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 10100010002189 in words is "ten trillion, one hundred billion, ten million, two thousand, one hundred eighty-nine".