201101100100101 has 12 divisors (see below), whose sum is σ = 290570683849420. Its totient is φ = 134025253741440.

The previous prime is 201101100100001. The next prime is 201101100100111. The reversal of 201101100100101 is 101001001101102.

It can be written as a sum of positive squares in 2 ways, for example, as 35327878763076 + 165773221337025 = 5943726^2 + 12875295^2 .

It is not a de Polignac number, because 201101100100101 - 2¹¹ = 201101100098053 is a prime.

It is a super-2 number, since 2×201101100100101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101100100111) 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, 3512163556 + ... + 3512220813.

Almost surely, 2^{201101100100101} is an apocalyptic number.

It is an amenable number.

201101100100101 is a deficient number, since it is larger than the sum of its proper divisors (89469583749319).

201101100100101 is a wasteful number, since it uses less digits than its factorization.

201101100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024387556 (or 7024387553 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201101100100101 its reverse (101001001101102), we get a palindrome (302102101201203).

The spelling of 201101100100101 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred one".