100111007 has 2 divisors, whose sum is σ = 100111008. Its totient is φ = 100111006.

The previous prime is 100111003. The next prime is 100111043. The reversal of 100111007 is 700111001.

It is a weak prime.

It is an emirp because it is prime and its reverse (700111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111007 - 2² = 100111003 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055503 + 50055504.

It is an arithmetic number, because the mean of its divisors is an integer number (50055504).

Almost surely, 2^100111007 is an apocalyptic number.

100111007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111007 is an equidigital number, since it uses as much as digits as its factorization.

100111007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 100111007 is about 10005.5488105351. The cubic root of 100111007 is about 464.3305694663.

Adding to 100111007 its reverse (700111001), we get a palindrome (800222008).

The spelling of 100111007 in words is "one hundred million, one hundred eleven thousand, seven".