100101111000889 has 2 divisors, whose sum is σ = 100101111000890. Its totient is φ = 100101111000888.

The previous prime is 100101111000833. The next prime is 100101111000911. The reversal of 100101111000889 is 988000111101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59933655672489 + 40167455328400 = 7741683^2 + 6337780^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101111000889 - 2²³ = 100101102612281 is a prime.

It is a super-2 number, since 2×100101111000889² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111000889.

It is not a weakly prime, because it can be changed into another prime (100101111000829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555500444 + 50050555500445.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555500445).

Almost surely, 2^{100101111000889} is an apocalyptic number.

It is an amenable number.

100101111000889 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111000889 is an equidigital number, since it uses as much as digits as its factorization.

100101111000889 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 31.

The spelling of 100101111000889 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, eight hundred eighty-nine", and thus it is an aban number.