100011011101007 has 2 divisors, whose sum is σ = 100011011101008. Its totient is φ = 100011011101006.

The previous prime is 100011011100997. The next prime is 100011011101013. The reversal of 100011011101007 is 700101110110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100011011101007 - 2⁶ = 100011011100943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011011100982 and 100011011101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011011101607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505550503 + 50005505550504.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505550504).

Almost surely, 2^{100011011101007} is an apocalyptic number.

100011011101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011011101007 is an equidigital number, since it uses as much as digits as its factorization.

100011011101007 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 14.

Adding to 100011011101007 its reverse (700101110110001), we get a palindrome (800112121211008).

The spelling of 100011011101007 in words is "one hundred trillion, eleven billion, eleven million, one hundred one thousand, seven".