2001102100189 has 2 divisors, whose sum is σ = 2001102100190. Its totient is φ = 2001102100188.

The previous prime is 2001102100187. The next prime is 2001102100219. The reversal of 2001102100189 is 9810012011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1194994412964 + 806107687225 = 1093158^2 + 897835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001102100189 - 2¹ = 2001102100187 is a prime.

Together with 2001102100187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001102100183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000551050094 + 1000551050095.

It is an arithmetic number, because the mean of its divisors is an integer number (1000551050095).

Almost surely, 2^{2001102100189} is an apocalyptic number.

It is an amenable number.

2001102100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001102100189 is an equidigital number, since it uses as much as digits as its factorization.

2001102100189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 2001102100189 in words is "two trillion, one billion, one hundred two million, one hundred thousand, one hundred eighty-nine".