201041120160 has 72 divisors (see below), whose sum is σ = 686052827460. Its totient is φ = 53610964992.

The previous prime is 201041120149. The next prime is 201041120179. The reversal of 201041120160 is 61021140102.

It can be written as a sum of positive squares in 2 ways, for example, as 199347962256 + 1693157904 = 446484^2 + 41148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69804505 + ... + 69807384.

Almost surely, 2^201041120160 is an apocalyptic number.

201041120160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201041120160 is an abundant number, since it is smaller than the sum of its proper divisors (485011707300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201041120160 is a wasteful number, since it uses less digits than its factorization.

201041120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139611910 (or 139611899 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201041120160 its reverse (61021140102), we get a palindrome (262062260262).

It can be divided in two parts, 201041 and 120160, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 201041120160 in words is "two hundred one billion, forty-one million, one hundred twenty thousand, one hundred sixty".