101212100200201 has 128 divisors (see below), whose sum is σ = 119522012037120. Its totient is φ = 85178096640000.

The previous prime is 101212100200187. The next prime is 101212100200273. The reversal of 101212100200201 is 102002001212101.

It is not a de Polignac number, because 101212100200201 - 2¹⁵ = 101212100167433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212100200291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4484154246 + ... + 4484176816.

It is an arithmetic number, because the mean of its divisors is an integer number (933765719040).

Almost surely, 2^{101212100200201} is an apocalyptic number.

It is an amenable number.

101212100200201 is a deficient number, since it is larger than the sum of its proper divisors (18309911836919).

101212100200201 is a wasteful number, since it uses less digits than its factorization.

101212100200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22847.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101212100200201 its reverse (102002001212101), we get a palindrome (203214101412302).

The spelling of 101212100200201 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, two hundred thousand, two hundred one".