100100110109981 has 2 divisors, whose sum is σ = 100100110109982. Its totient is φ = 100100110109980.

The previous prime is 100100110109921. The next prime is 100100110110019. The reversal of 100100110109981 is 189901011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85142437834756 + 14957672275225 = 9227266^2 + 3867515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110109981 - 2⁴² = 95702063598877 is a prime.

It is a super-2 number, since 2×100100110109981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110109921) 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, 50050055054990 + 50050055054991.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055054991).

Almost surely, 2^{100100110109981} is an apocalyptic number.

It is an amenable number.

100100110109981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110109981 is an equidigital number, since it uses as much as digits as its factorization.

100100110109981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 100100110109981 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred nine thousand, nine hundred eighty-one".