201141552105 has 128 divisors (see below), whose sum is σ = 395962237440. Its totient is φ = 96234531840.

The previous prime is 201141552089. The next prime is 201141552121. The reversal of 201141552105 is 501255141102.

It is a happy number.

201141552105 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 1 + 552 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (201141552089) and next prime (201141552121).

It is not a de Polignac number, because 201141552105 - 2⁴ = 201141552089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89674114 + ... + 89676356.

It is an arithmetic number, because the mean of its divisors is an integer number (3093454980).

Almost surely, 2^201141552105 is an apocalyptic number.

It is an amenable number.

201141552105 is a deficient number, since it is larger than the sum of its proper divisors (194820685335).

201141552105 is a wasteful number, since it uses less digits than its factorization.

201141552105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 201141552105 its reverse (501255141102), we get a palindrome (702396693207).

The spelling of 201141552105 in words is "two hundred one billion, one hundred forty-one million, five hundred fifty-two thousand, one hundred five".