100010100031111 has 2 divisors, whose sum is σ = 100010100031112. Its totient is φ = 100010100031110.

The previous prime is 100010100031103. The next prime is 100010100031151. The reversal of 100010100031111 is 111130001010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100010100031111 - 2³ = 100010100031103 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100031151) 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, 50005050015555 + 50005050015556.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050015556).

Almost surely, 2^{100010100031111} is an apocalyptic number.

100010100031111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100031111 is an equidigital number, since it uses as much as digits as its factorization.

100010100031111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100010100031111 its reverse (111130001010001), we get a palindrome (211140101041112).

The spelling of 100010100031111 in words is "one hundred trillion, ten billion, one hundred million, thirty-one thousand, one hundred eleven".