1001120212001 has 16 divisors (see below), whose sum is σ = 1232184105600. Its totient is φ = 792071872128.

The previous prime is 1001120211929. The next prime is 1001120212049. The reversal of 1001120212001 is 1002120211001.

It is a cyclic number.

It is not a de Polignac number, because 1001120212001 - 2¹⁴ = 1001120195617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001120212051) 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 15 ways as a sum of consecutive naturals, for example, 3382310 + ... + 3666368.

It is an arithmetic number, because the mean of its divisors is an integer number (77011506600).

Almost surely, 2^{1001120212001} is an apocalyptic number.

It is an amenable number.

1001120212001 is a deficient number, since it is larger than the sum of its proper divisors (231063893599).

1001120212001 is a wasteful number, since it uses less digits than its factorization.

1001120212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322808.

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

Adding to 1001120212001 its reverse (1002120211001), we get a palindrome (2003240423002).

It can be divided in two parts, 1001120 and 212001, that added together give a palindrome (1213121).

The spelling of 1001120212001 in words is "one trillion, one billion, one hundred twenty million, two hundred twelve thousand, one".