100100110011107 has 2 divisors, whose sum is σ = 100100110011108. Its totient is φ = 100100110011106.

The previous prime is 100100110011047. The next prime is 100100110011113. The reversal of 100100110011107 is 701110011001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110011107 - 2³² = 100095815043811 is a prime.

It is a super-3 number, since 3×100100110011107³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100110011091 and 100100110011100.

It is not a weakly prime, because it can be changed into another prime (100100110011157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055005553 + 50050055005554.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055005554).

Almost surely, 2^{100100110011107} is an apocalyptic number.

100100110011107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110011107 is an equidigital number, since it uses as much as digits as its factorization.

100100110011107 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 100100110011107 its reverse (701110011001001), we get a palindrome (801210121012108).

The spelling of 100100110011107 in words is "one hundred trillion, one hundred billion, one hundred ten million, eleven thousand, one hundred seven".