100101018902849 has 2 divisors, whose sum is σ = 100101018902850. Its totient is φ = 100101018902848.

The previous prime is 100101018902831. The next prime is 100101018902891. The reversal of 100101018902849 is 948209810101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100063870195249 + 37148707600 = 10003193^2 + 192740^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101018902849 - 2¹² = 100101018898753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100181018902849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050509451424 + 50050509451425.

It is an arithmetic number, because the mean of its divisors is an integer number (50050509451425).

Almost surely, 2^{100101018902849} is an apocalyptic number.

It is an amenable number.

100101018902849 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101018902849 is an equidigital number, since it uses as much as digits as its factorization.

100101018902849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 100101018902849 in words is "one hundred trillion, one hundred one billion, eighteen million, nine hundred two thousand, eight hundred forty-nine".