100010110101007 has 2 divisors, whose sum is σ = 100010110101008. Its totient is φ = 100010110101006.

The previous prime is 100010110100987. The next prime is 100010110101089. The reversal of 100010110101007 is 700101011010001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010110101007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010110101907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005055050503 + 50005055050504.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055050504).

Almost surely, 2^{100010110101007} is an apocalyptic number.

100010110101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010110101007 is an equidigital number, since it uses as much as digits as its factorization.

100010110101007 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 13.

Adding to 100010110101007 its reverse (700101011010001), we get a palindrome (800111121111008).

The spelling of 100010110101007 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred one thousand, seven".