1001011109881 has 2 divisors, whose sum is σ = 1001011109882. Its totient is φ = 1001011109880.

The previous prime is 1001011109809. The next prime is 1001011109911. The reversal of 1001011109881 is 1889011101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 895294440000 + 105716669881 = 946200^2 + 325141^2 .

It is an emirp because it is prime and its reverse (1889011101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001011109881 - 2¹⁵ = 1001011077113 is a prime.

It is a super-3 number, since 3×1001011109881³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1001011104881) 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, 500505554940 + 500505554941.

It is an arithmetic number, because the mean of its divisors is an integer number (500505554941).

Almost surely, 2^{1001011109881} is an apocalyptic number.

It is an amenable number.

1001011109881 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011109881 is an equidigital number, since it uses as much as digits as its factorization.

1001011109881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 31.

The spelling of 1001011109881 in words is "one trillion, one billion, eleven million, one hundred nine thousand, eight hundred eighty-one".