100110011009989 has 2 divisors, whose sum is σ = 100110011009990. Its totient is φ = 100110011009988.

The previous prime is 100110011009963. The next prime is 100110011010007. The reversal of 100110011009989 is 989900110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67910537416225 + 32199473593764 = 8240785^2 + 5674458^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110011009989 - 2³⁷ = 99972572056517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100140011009989) 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, 50055005504994 + 50055005504995.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005504995).

Almost surely, 2^{100110011009989} is an apocalyptic number.

It is an amenable number.

100110011009989 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011009989 is an equidigital number, since it uses as much as digits as its factorization.

100110011009989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 40.

The spelling of 100110011009989 in words is "one hundred trillion, one hundred ten billion, eleven million, nine thousand, nine hundred eighty-nine".