1002011122201 has 8 divisors (see below), whose sum is σ = 1011988513800. Its totient is φ = 992047996800.

The previous prime is 1002011122157. The next prime is 1002011122219. The reversal of 1002011122201 is 1022211102001.

It can be written as a sum of positive squares in 4 ways, for example, as 469877346576 + 532133775625 = 685476^2 + 729475^2 .

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 1002011122201 - 2¹⁷ = 1002010991129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002011129201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425350 + ... + 3706351.

It is an arithmetic number, because the mean of its divisors is an integer number (126498564225).

Almost surely, 2^{1002011122201} is an apocalyptic number.

It is an amenable number.

1002011122201 is a deficient number, since it is larger than the sum of its proper divisors (9977391599).

1002011122201 is a wasteful number, since it uses less digits than its factorization.

1002011122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133099.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002011122201 its reverse (1022211102001), we get a palindrome (2024222224202).

The spelling of 1002011122201 in words is "one trillion, two billion, eleven million, one hundred twenty-two thousand, two hundred one".