201100022001 has 56 divisors (see below), whose sum is σ = 305246438280. Its totient is φ = 132409728000.

The previous prime is 201100021999. The next prime is 201100022017. The reversal of 201100022001 is 100220001102.

It can be written as a sum of positive squares in 4 ways, for example, as 4070567601 + 197029454400 = 63801^2 + 443880^2 .

It is not a de Polignac number, because 201100022001 - 2¹ = 201100021999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201100023001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 111659301 + ... + 111661101.

It is an arithmetic number, because the mean of its divisors is an integer number (5450829255).

Almost surely, 2^201100022001 is an apocalyptic number.

It is an amenable number.

201100022001 is a deficient number, since it is larger than the sum of its proper divisors (104146416279).

201100022001 is an equidigital number, since it uses as much as digits as its factorization.

201100022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201100022001 its reverse (100220001102), we get a palindrome (301320023103).

The spelling of 201100022001 in words is "two hundred one billion, one hundred million, twenty-two thousand, one".