100110021577889 has 2 divisors, whose sum is σ = 100110021577890. Its totient is φ = 100110021577888.

The previous prime is 100110021577879. The next prime is 100110021577999. The reversal of 100110021577889 is 988775120011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98061645201664 + 2048376376225 = 9902608^2 + 1431215^2 .

It is an emirp because it is prime and its reverse (988775120011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110021577889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110021577829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055010788944 + 50055010788945.

It is an arithmetic number, because the mean of its divisors is an integer number (50055010788945).

Almost surely, 2^{100110021577889} is an apocalyptic number.

It is an amenable number.

100110021577889 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110021577889 is an equidigital number, since it uses as much as digits as its factorization.

100110021577889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 50.

The spelling of 100110021577889 in words is "one hundred trillion, one hundred ten billion, twenty-one million, five hundred seventy-seven thousand, eight hundred eighty-nine".