100011010101007 has 2 divisors, whose sum is σ = 100011010101008. Its totient is φ = 100011010101006.

The previous prime is 100011010100893. The next prime is 100011010101071. The reversal of 100011010101007 is 700101010110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100011010101007 - 2³⁵ = 99976650362639 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011010102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505050503 + 50005505050504.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505050504).

Almost surely, 2^{100011010101007} is an apocalyptic number.

100011010101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011010101007 is an equidigital number, since it uses as much as digits as its factorization.

100011010101007 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 100011010101007 its reverse (700101010110001), we get a palindrome (800112020211008).

The spelling of 100011010101007 in words is "one hundred trillion, eleven billion, ten million, one hundred one thousand, seven".