201761121001 has 6 divisors (see below), whose sum is σ = 221770488506. Its totient is φ = 183419200800.

The previous prime is 201761120993. The next prime is 201761121017. The reversal of 201761121001 is 100121167102.

It can be written as a sum of positive squares in only one way, i.e., 189661121001 + 12100000000 = 435501^2 + 110000^2 .

It is not a de Polignac number, because 201761121001 - 2³ = 201761120993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201761121061) 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 5 ways as a sum of consecutive naturals, for example, 833723520 + ... + 833723761.

Almost surely, 2^201761121001 is an apocalyptic number.

It is an amenable number.

201761121001 is a deficient number, since it is larger than the sum of its proper divisors (20009367505).

201761121001 is a wasteful number, since it uses less digits than its factorization.

201761121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667447303 (or 1667447292 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 201761121001 its reverse (100121167102), we get a palindrome (301882288103).

The spelling of 201761121001 in words is "two hundred one billion, seven hundred sixty-one million, one hundred twenty-one thousand, one".