1012001122001 has 8 divisors (see below), whose sum is σ = 1019403613800. Its totient is φ = 1004621513728.

The previous prime is 1012001121997. The next prime is 1012001122043. The reversal of 1012001122001 is 1002211002101.

It can be written as a sum of positive squares in 4 ways, for example, as 393977160976 + 618023961025 = 627676^2 + 786145^2 .

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 1012001122001 - 2² = 1012001121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012001122901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5632106 + ... + 5809011.

It is an arithmetic number, because the mean of its divisors is an integer number (127425451725).

Almost surely, 2^{1012001122001} is an apocalyptic number.

It is an amenable number.

1012001122001 is a deficient number, since it is larger than the sum of its proper divisors (7402491799).

1012001122001 is a wasteful number, since it uses less digits than its factorization.

1012001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441763.

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

Adding to 1012001122001 its reverse (1002211002101), we get a palindrome (2014212124102).

The spelling of 1012001122001 in words is "one trillion, twelve billion, one million, one hundred twenty-two thousand, one".