100102112201089 has 2 divisors, whose sum is σ = 100102112201090. Its totient is φ = 100102112201088.

The previous prime is 100102112201041. The next prime is 100102112201173. The reversal of 100102112201089 is 980102211201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99716201640000 + 385910561089 = 9985800^2 + 621217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102112201089 is a prime.

It is a super-2 number, since 2×100102112201089² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100102112208089) 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, 50051056100544 + 50051056100545.

It is an arithmetic number, because the mean of its divisors is an integer number (50051056100545).

Almost surely, 2^{100102112201089} is an apocalyptic number.

It is an amenable number.

100102112201089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102112201089 is an equidigital number, since it uses as much as digits as its factorization.

100102112201089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 100102112201089 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, two hundred one thousand, eighty-nine".