1106127221101 has 16 divisors (see below), whose sum is σ = 1307810678400. Its totient is φ = 915363787968.

The previous prime is 1106127221077. The next prime is 1106127221119. The reversal of 1106127221101 is 1011227216011.

It is a happy number.

It is not a de Polignac number, because 1106127221101 - 2¹³ = 1106127212909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106127221201) 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, 3672115 + ... + 3961903.

It is an arithmetic number, because the mean of its divisors is an integer number (81738167400).

Almost surely, 2^{1106127221101} is an apocalyptic number.

It is an amenable number.

1106127221101 is a deficient number, since it is larger than the sum of its proper divisors (201683457299).

1106127221101 is a wasteful number, since it uses less digits than its factorization.

1106127221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308628.

The product of its (nonzero) digits is 336, while the sum is 25.

The spelling of 1106127221101 in words is "one trillion, one hundred six billion, one hundred twenty-seven million, two hundred twenty-one thousand, one hundred one".