201010112122101 has 32 divisors (see below), whose sum is σ = 270269153280000. Its totient is φ = 132880062579264.

The previous prime is 201010112122097. The next prime is 201010112122123. The reversal of 201010112122101 is 101221211010102.

It is a happy number.

It is not a de Polignac number, because 201010112122101 - 2² = 201010112122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010112122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5956014775 + ... + 5956048523.

It is an arithmetic number, because the mean of its divisors is an integer number (8445911040000).

Almost surely, 2^{201010112122101} is an apocalyptic number.

It is an amenable number.

201010112122101 is a deficient number, since it is larger than the sum of its proper divisors (69259041157899).

201010112122101 is a wasteful number, since it uses less digits than its factorization.

201010112122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41825.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201010112122101 its reverse (101221211010102), we get a palindrome (302231323132203).

The spelling of 201010112122101 in words is "two hundred one trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".