101010001101007 has 2 divisors, whose sum is σ = 101010001101008. Its totient is φ = 101010001101006.

The previous prime is 101010001100951. The next prime is 101010001101049. The reversal of 101010001101007 is 700101100010101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010001101007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000550503 + 50505000550504.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000550504).

Almost surely, 2^{101010001101007} is an apocalyptic number.

101010001101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001101007 is an equidigital number, since it uses as much as digits as its factorization.

101010001101007 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 101010001101007 its reverse (700101100010101), we get a palindrome (801111101111108).

The spelling of 101010001101007 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, seven".