201001000999968 has 144 divisors (see below), whose sum is σ = 615584028562776. Its totient is φ = 61844606853120.

The previous prime is 201001000999933. The next prime is 201001000999979. The reversal of 201001000999968 is 869999000100102.

It can be written as a sum of positive squares in 4 ways, for example, as 32703621189264 + 168297379810704 = 5718708^2 + 12972948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126736296 + ... + 128312472.

Almost surely, 2^{201001000999968} is an apocalyptic number.

It is an amenable number.

201001000999968 is an abundant number, since it is smaller than the sum of its proper divisors (414583027562808).

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

201001000999968 is a wasteful number, since it uses less digits than its factorization.

201001000999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610267 (or 1610256 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 201001000999968 in words is "two hundred one trillion, one billion, nine hundred ninety-nine thousand, nine hundred sixty-eight".