1004100101111 has 2 divisors, whose sum is σ = 1004100101112. Its totient is φ = 1004100101110.

The previous prime is 1004100101107. The next prime is 1004100101119. The reversal of 1004100101111 is 1111010014001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (1111010014001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004100101111 - 2² = 1004100101107 is a prime.

It is a super-2 number, since 2×1004100101111² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004100101092 and 1004100101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004100101119) 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, 502050050555 + 502050050556.

It is an arithmetic number, because the mean of its divisors is an integer number (502050050556).

Almost surely, 2^{1004100101111} is an apocalyptic number.

1004100101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004100101111 is an equidigital number, since it uses as much as digits as its factorization.

1004100101111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1004100101111 its reverse (1111010014001), we get a palindrome (2115110115112).

The spelling of 1004100101111 in words is "one trillion, four billion, one hundred million, one hundred one thousand, one hundred eleven".