100000101011081 has 2 divisors, whose sum is σ = 100000101011082. Its totient is φ = 100000101011080.

The previous prime is 100000101011009. The next prime is 100000101011113. The reversal of 100000101011081 is 180110101000001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51510534743056 + 48489566268025 = 7177084^2 + 6963445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000101011081 is a prime.

It is a super-3 number, since 3×100000101011081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100000101011381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050505540 + 50000050505541.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050505541).

Almost surely, 2^{100000101011081} is an apocalyptic number.

It is an amenable number.

100000101011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000101011081 is an equidigital number, since it uses as much as digits as its factorization.

100000101011081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100000101011081 its reverse (180110101000001), we get a palindrome (280110202011082).

The spelling of 100000101011081 in words is "one hundred trillion, one hundred one million, eleven thousand, eighty-one".