201102212122201 has 16 divisors (see below), whose sum is σ = 216830121237520. Its totient is φ = 185411355402240.

The previous prime is 201102212122193. The next prime is 201102212122313. The reversal of 201102212122201 is 102221212201102.

It can be written as a sum of positive squares in 8 ways, for example, as 30315474390601 + 170786737731600 = 5505949^2 + 13068540^2 .

It is a cyclic number.

It is not a de Polignac number, because 201102212122201 - 2³ = 201102212122193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201102212122501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36824185 + ... + 41931193.

It is an arithmetic number, because the mean of its divisors is an integer number (13551882577345).

Almost surely, 2^{201102212122201} is an apocalyptic number.

It is an amenable number.

201102212122201 is a deficient number, since it is larger than the sum of its proper divisors (15727909115319).

201102212122201 is a wasteful number, since it uses less digits than its factorization.

201102212122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110636.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201102212122201 its reverse (102221212201102), we get a palindrome (303323424323303).

The spelling of 201102212122201 in words is "two hundred one trillion, one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred one".