101101100006165 has 16 divisors (see below), whose sum is σ = 139371346161408. Its totient is φ = 68967264070656.

The previous prime is 101101100006129. The next prime is 101101100006167. The reversal of 101101100006165 is 561600001101101.

It is a happy number.

It is not a de Polignac number, because 101101100006165 - 2²⁶ = 101101032897301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101100006165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100006167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7483420337 + ... + 7483433846.

It is an arithmetic number, because the mean of its divisors is an integer number (8710709135088).

Almost surely, 2^{101101100006165} is an apocalyptic number.

It is an amenable number.

101101100006165 is a deficient number, since it is larger than the sum of its proper divisors (38270246155243).

101101100006165 is a wasteful number, since it uses less digits than its factorization.

101101100006165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966854388.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 101101100006165 its reverse (561600001101101), we get a palindrome (662701101107266).

The spelling of 101101100006165 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, one hundred sixty-five".