100100011289 has 2 divisors, whose sum is σ = 100100011290. Its totient is φ = 100100011288.

The previous prime is 100100011267. The next prime is 100100011309. The reversal of 100100011289 is 982110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65800971289 + 34299040000 = 256517^2 + 185200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100011289 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100011489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005644 + 50050005645.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005645).

Almost surely, 2^100100011289 is an apocalyptic number.

It is an amenable number.

100100011289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011289 is an equidigital number, since it uses as much as digits as its factorization.

100100011289 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 100100011289 in words is "one hundred billion, one hundred million, eleven thousand, two hundred eighty-nine".