201120201000201 has 16 divisors (see below), whose sum is σ = 306567136512000. Its totient is φ = 114888982093968.

The previous prime is 201120201000179. The next prime is 201120201000211. The reversal of 201120201000201 is 102000102021102.

It is not a de Polignac number, because 201120201000201 - 2⁶ = 201120201000137 is a prime.

It is a super-3 number, since 3×201120201000201³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201120201000211) 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 15 ways as a sum of consecutive naturals, for example, 1535226651 + ... + 1535357648.

It is an arithmetic number, because the mean of its divisors is an integer number (19160446032000).

Almost surely, 2^{201120201000201} is an apocalyptic number.

201120201000201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201120201000201 is a deficient number, since it is larger than the sum of its proper divisors (105446935511799).

201120201000201 is a wasteful number, since it uses less digits than its factorization.

201120201000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070587428.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120201000201 its reverse (102000102021102), we get a palindrome (303120303021303).

The spelling of 201120201000201 in words is "two hundred one trillion, one hundred twenty billion, two hundred one million, two hundred one", and thus it is an aban number.