201122100303201 has 144 divisors (see below), whose sum is σ = 370099126919808. Its totient is φ = 104072104281600.

The previous prime is 201122100303167. The next prime is 201122100303221. The reversal of 201122100303201 is 102303001221102.

201122100303201 is a `hidden beast` number, since 20 + 112 + 210 + 0 + 3 + 0 + 320 + 1 = 666.

It is not a de Polignac number, because 201122100303201 - 2¹¹ = 201122100301153 is a prime.

It is a super-2 number, since 2×201122100303201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201122100303221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2197025491 + ... + 2197117031.

It is an arithmetic number, because the mean of its divisors is an integer number (2570132825832).

Almost surely, 2^{201122100303201} is an apocalyptic number.

201122100303201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201122100303201 is a deficient number, since it is larger than the sum of its proper divisors (168977026616607).

201122100303201 is a wasteful number, since it uses less digits than its factorization.

201122100303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93332 (or 93322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201122100303201 its reverse (102303001221102), we get a palindrome (303425101524303).

The spelling of 201122100303201 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred million, three hundred three thousand, two hundred one".