10110106011001 has 2 divisors, whose sum is σ = 10110106011002. Its totient is φ = 10110106011000.

The previous prime is 10110106010951. The next prime is 10110106011029. The reversal of 10110106011001 is 10011060101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8129204582976 + 1980901428025 = 2851176^2 + 1407445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110106011001 - 2²⁵ = 10110072456569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110106011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055053005500 + 5055053005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055053005501).

Almost surely, 2^{10110106011001} is an apocalyptic number.

It is an amenable number.

10110106011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110106011001 is an equidigital number, since it uses as much as digits as its factorization.

10110106011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10110106011001 its reverse (10011060101101), we get a palindrome (20121166112102).

The spelling of 10110106011001 in words is "ten trillion, one hundred ten billion, one hundred six million, eleven thousand, one".