201013013212101 has 40 divisors (see below), whose sum is σ = 301589552246400. Its totient is φ = 133424238248928.

The previous prime is 201013013212091. The next prime is 201013013212117. The reversal of 201013013212101 is 101212310310102.

201013013212101 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 130 + 1 + 321 + 210 + 1 = 666.

It is not a de Polignac number, because 201013013212101 - 2²⁶ = 201012946103237 is a prime.

It is a super-2 number, since 2×201013013212101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201013013252101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35337175 + ... + 40629323.

It is an arithmetic number, because the mean of its divisors is an integer number (7539738806160).

Almost surely, 2^{201013013212101} is an apocalyptic number.

It is an amenable number.

201013013212101 is a deficient number, since it is larger than the sum of its proper divisors (100576539034299).

201013013212101 is a wasteful number, since it uses less digits than its factorization.

201013013212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294207 (or 5294198 counting only the distinct ones).

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

Adding to 201013013212101 its reverse (101212310310102), we get a palindrome (302225323522203).

The spelling of 201013013212101 in words is "two hundred one trillion, thirteen billion, thirteen million, two hundred twelve thousand, one hundred one".