1101011002081 has 2 divisors, whose sum is σ = 1101011002082. Its totient is φ = 1101011002080.

The previous prime is 1101011002057. The next prime is 1101011002097. The reversal of 1101011002081 is 1802001101011.

It is an a-pointer prime, because the next prime (1101011002097) can be obtained adding 1101011002081 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 657208547856 + 443802454225 = 810684^2 + 666185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101011002081 - 2²¹ = 1101008904929 is a prime.

It is a super-2 number, since 2×1101011002081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101011002781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550505501040 + 550505501041.

It is an arithmetic number, because the mean of its divisors is an integer number (550505501041).

Almost surely, 2^{1101011002081} is an apocalyptic number.

It is an amenable number.

1101011002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101011002081 is an equidigital number, since it uses as much as digits as its factorization.

1101011002081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1101011002081 its reverse (1802001101011), we get a palindrome (2903012103092).

The spelling of 1101011002081 in words is "one trillion, one hundred one billion, eleven million, two thousand, eighty-one".