201142905201 has 72 divisors (see below), whose sum is σ = 339803440704. Its totient is φ = 114318630720.

The previous prime is 201142905191. The next prime is 201142905211. The reversal of 201142905201 is 102509241102.

201142905201 is a `hidden beast` number, since 2 + 0 + 11 + 42 + 90 + 520 + 1 = 666.

201142905201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201142905191) and next prime (201142905211).

It is not a de Polignac number, because 201142905201 - 2⁹ = 201142904689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201142905211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81532170 + ... + 81534636.

It is an arithmetic number, because the mean of its divisors is an integer number (4719492232).

Almost surely, 2^201142905201 is an apocalyptic number.

201142905201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201142905201 is a deficient number, since it is larger than the sum of its proper divisors (138660535503).

201142905201 is a wasteful number, since it uses less digits than its factorization.

201142905201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 201142905201 in words is "two hundred one billion, one hundred forty-two million, nine hundred five thousand, two hundred one".