101101111006001 has 12 divisors (see below), whose sum is σ = 107418403336500. Its totient is φ = 95137181058528.

The previous prime is 101101111005989. The next prime is 101101111006009. The reversal of 101101111006001 is 100600111101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30902703360400 + 70198407645601 = 5559020^2 + 8378449^2 .

It is not a de Polignac number, because 101101111006001 - 2¹⁴ = 101101110989617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111006009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939739766 + ... + 939847343.

It is an arithmetic number, because the mean of its divisors is an integer number (8951533611375).

Almost surely, 2^{101101111006001} is an apocalyptic number.

It is an amenable number.

101101111006001 is a deficient number, since it is larger than the sum of its proper divisors (6317292330499).

101101111006001 is a wasteful number, since it uses less digits than its factorization.

101101111006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879587296 (or 1879587277 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101101111006001 its reverse (100600111101101), we get a palindrome (201701222107102).

The spelling of 101101111006001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, six thousand, one".