1001122100201 has 8 divisors (see below), whose sum is σ = 1025237590080. Its totient is φ = 977044500432.

The previous prime is 1001122100197. The next prime is 1001122100273. The reversal of 1001122100201 is 1020012211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001122100201 - 2² = 1001122100197 is a prime.

It is a super-4 number, since 4×1001122100201⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001122100281) 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 7 ways as a sum of consecutive naturals, for example, 9419045 + ... + 9524738.

It is an arithmetic number, because the mean of its divisors is an integer number (128154698760).

Almost surely, 2^{1001122100201} is an apocalyptic number.

It is an amenable number.

1001122100201 is a deficient number, since it is larger than the sum of its proper divisors (24115489879).

1001122100201 is a wasteful number, since it uses less digits than its factorization.

1001122100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945055.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001122100201 its reverse (1020012211001), we get a palindrome (2021134311202).

The spelling of 1001122100201 in words is "one trillion, one billion, one hundred twenty-two million, one hundred thousand, two hundred one".