100111010081 has 2 divisors, whose sum is σ = 100111010082. Its totient is φ = 100111010080.

The previous prime is 100111010047. The next prime is 100111010101. The reversal of 100111010081 is 180010111001.

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., 71712019681 + 28398990400 = 267791^2 + 168520^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010081 - 2¹⁰ = 100111009057 is a prime.

It is a super-2 number, since 2×100111010081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111010011) 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, 50055505040 + 50055505041.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505041).

Almost surely, 2^100111010081 is an apocalyptic number.

It is an amenable number.

100111010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010081 is an equidigital number, since it uses as much as digits as its factorization.

100111010081 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 100111010081 its reverse (180010111001), we get a palindrome (280121121082).

The spelling of 100111010081 in words is "one hundred billion, one hundred eleven million, ten thousand, eighty-one".