201121112211201 has 288 divisors, whose sum is σ = 370348685650944. Its totient is φ = 102918905856000.

The previous prime is 201121112211193. The next prime is 201121112211203. The reversal of 201121112211201 is 102112211121102.

It is a happy number.

201121112211201 is a `hidden beast` number, since 20 + 1 + 121 + 112 + 211 + 201 = 666.

It is not a de Polignac number, because 201121112211201 - 2³ = 201121112211193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201121112211203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129504900841 + ... + 129504902393.

It is an arithmetic number, because the mean of its divisors is an integer number (1285932936288).

Almost surely, 2^{201121112211201} is an apocalyptic number.

201121112211201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201121112211201 is a deficient number, since it is larger than the sum of its proper divisors (169227573439743).

201121112211201 is a wasteful number, since it uses less digits than its factorization.

201121112211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201121112211201 its reverse (102112211121102), we get a palindrome (303233323332303).

The spelling of 201121112211201 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, two hundred one".