100100011101007 has 2 divisors, whose sum is σ = 100100011101008. Its totient is φ = 100100011101006.

The previous prime is 100100011100977. The next prime is 100100011101037. The reversal of 100100011101007 is 700101110001001.

It is a balanced prime because it is at equal distance from previous prime (100100011100977) and next prime (100100011101037).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100011101007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100011101037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005550503 + 50050005550504.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005550504).

Almost surely, 2^{100100011101007} is an apocalyptic number.

100100011101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011101007 is an equidigital number, since it uses as much as digits as its factorization.

100100011101007 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 13.

Adding to 100100011101007 its reverse (700101110001001), we get a palindrome (800201121102008).

The spelling of 100100011101007 in words is "one hundred trillion, one hundred billion, eleven million, one hundred one thousand, seven".