100110111006007 has 2 divisors, whose sum is σ = 100110111006008. Its totient is φ = 100110111006006.

The previous prime is 100110111006001. The next prime is 100110111006013. The reversal of 100110111006007 is 700600111011001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100110111006001) and next prime (100110111006013).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110111006007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110111006001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055503003 + 50055055503004.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055503004).

Almost surely, 2^{100110111006007} is an apocalyptic number.

100110111006007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110111006007 is an equidigital number, since it uses as much as digits as its factorization.

100110111006007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 100110111006007 its reverse (700600111011001), we get a palindrome (800710222017008).

The spelling of 100110111006007 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, six thousand, seven".