100101000110989 has 2 divisors, whose sum is σ = 100101000110990. Its totient is φ = 100101000110988.

The previous prime is 100101000110987. The next prime is 100101000111029. The reversal of 100101000110989 is 989011000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81528709955625 + 18572290155364 = 9029325^2 + 4309558^2 .

It is an emirp because it is prime and its reverse (989011000101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101000110989 - 2¹ = 100101000110987 is a prime.

It is a super-3 number, since 3×100101000110989³ (a number of 43 digits) contains 333 as substring.

Together with 100101000110987, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100101000110989.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101000110987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500055494 + 50050500055495.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500055495).

Almost surely, 2^{100101000110989} is an apocalyptic number.

It is an amenable number.

100101000110989 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000110989 is an equidigital number, since it uses as much as digits as its factorization.

100101000110989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 100101000110989 in words is "one hundred trillion, one hundred one billion, one hundred ten thousand, nine hundred eighty-nine".