101011001001007 has 2 divisors, whose sum is σ = 101011001001008. Its totient is φ = 101011001001006.

The previous prime is 101011001000977. The next prime is 101011001001023. The reversal of 101011001001007 is 700100100110101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101011001001007 - 2¹¹ = 101011000998959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011001001077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500500503 + 50505500500504.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500500504).

Almost surely, 2^{101011001001007} is an apocalyptic number.

101011001001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001001007 is an equidigital number, since it uses as much as digits as its factorization.

101011001001007 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 101011001001007 its reverse (700100100110101), we get a palindrome (801111101111108).

The spelling of 101011001001007 in words is "one hundred one trillion, eleven billion, one million, one thousand, seven".