201322310011101 has 40 divisors (see below), whose sum is σ = 301008297657144. Its totient is φ = 134095480197120.

The previous prime is 201322310011079. The next prime is 201322310011103. The reversal of 201322310011101 is 101110013223102.

201322310011101 is a `hidden beast` number, since 20 + 1 + 322 + 310 + 0 + 1 + 1 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55137307702500 + 146185002308601 = 7425450^2 + 12090699^2 .

It is not a de Polignac number, because 201322310011101 - 2¹⁵ = 201322309978333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201322310011103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1650216561 + ... + 1650338553.

Almost surely, 2^{201322310011101} is an apocalyptic number.

It is an amenable number.

201322310011101 is a deficient number, since it is larger than the sum of its proper divisors (99685987646043).

201322310011101 is a wasteful number, since it uses less digits than its factorization.

201322310011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139963 (or 139954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201322310011101 its reverse (101110013223102), we get a palindrome (302432323234203).

The spelling of 201322310011101 in words is "two hundred one trillion, three hundred twenty-two billion, three hundred ten million, eleven thousand, one hundred one".