1012001212001 has 32 divisors (see below), whose sum is σ = 1133529936000. Its totient is φ = 897547972608.

The previous prime is 1012001211971. The next prime is 1012001212043. The reversal of 1012001212001 is 1002121002101.

It is a cyclic number.

It is not a de Polignac number, because 1012001212001 - 2⁶ = 1012001211937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012001212301) 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 31 ways as a sum of consecutive naturals, for example, 8409665 + ... + 8529153.

It is an arithmetic number, because the mean of its divisors is an integer number (35422810500).

Almost surely, 2^{1012001212001} is an apocalyptic number.

It is an amenable number.

1012001212001 is a deficient number, since it is larger than the sum of its proper divisors (121528723999).

1012001212001 is a wasteful number, since it uses less digits than its factorization.

1012001212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119793.

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

Adding to 1012001212001 its reverse (1002121002101), we get a palindrome (2014122214102).

The spelling of 1012001212001 in words is "one trillion, twelve billion, one million, two hundred twelve thousand, one".