101010000100981 has 2 divisors, whose sum is σ = 101010000100982. Its totient is φ = 101010000100980.

The previous prime is 101010000100979. The next prime is 101010000101041. The reversal of 101010000100981 is 189001000010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52584977402500 + 48425022698481 = 7251550^2 + 6958809^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000100981 - 2¹ = 101010000100979 is a prime.

It is a super-3 number, since 3×101010000100981³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 101010000100979, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000100921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000050490 + 50505000050491.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000050491).

Almost surely, 2^{101010000100981} is an apocalyptic number.

It is an amenable number.

101010000100981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000100981 is an equidigital number, since it uses as much as digits as its factorization.

101010000100981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101010000100981 in words is "one hundred one trillion, ten billion, one hundred thousand, nine hundred eighty-one".