110100100111007 has 2 divisors, whose sum is σ = 110100100111008. Its totient is φ = 110100100111006.

The previous prime is 110100100110967. The next prime is 110100100111013. The reversal of 110100100111007 is 700111001001011.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110100100111007 is a prime.

It is a super-2 number, since 2×110100100111007² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100100110982 and 110100100111000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100100114007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050055503 + 55050050055504.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050055504).

Almost surely, 2^{110100100111007} is an apocalyptic number.

110100100111007 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100100111007 is an equidigital number, since it uses as much as digits as its factorization.

110100100111007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 110100100111007 its reverse (700111001001011), we get a palindrome (810211101112018).

The spelling of 110100100111007 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, seven".