100100001001111 has 2 divisors, whose sum is σ = 100100001001112. Its totient is φ = 100100001001110.

The previous prime is 100100001001097. The next prime is 100100001001139. The reversal of 100100001001111 is 111100100001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100001001111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100001001094 and 100100001001103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100001001211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000500555 + 50050000500556.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000500556).

Almost surely, 2^{100100001001111} is an apocalyptic number.

100100001001111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001001111 is an equidigital number, since it uses as much as digits as its factorization.

100100001001111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100001001111 its reverse (111100100001001), we get a palindrome (211200101002112).

It can be divided in two parts, 100100001001 and 111, that multiplied together give a palindrome (11111100111111).

The spelling of 100100001001111 in words is "one hundred trillion, one hundred billion, one million, one thousand, one hundred eleven".