120002021101001 has 16 divisors (see below), whose sum is σ = 129904203226896. Its totient is φ = 110195747536896.

The previous prime is 120002021100967. The next prime is 120002021101021. The reversal of 120002021101001 is 100101120200021.

It can be written as a sum of positive squares in 8 ways, for example, as 1330737587776 + 118671283513225 = 1153576^2 + 10893635^2 .

It is a cyclic number.

It is not a de Polignac number, because 120002021101001 - 2¹⁸ = 120002020838857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120002021101021) 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 15 ways as a sum of consecutive naturals, for example, 231605441 + ... + 232122993.

It is an arithmetic number, because the mean of its divisors is an integer number (8119012701681).

Almost surely, 2^{120002021101001} is an apocalyptic number.

It is an amenable number.

120002021101001 is a deficient number, since it is larger than the sum of its proper divisors (9902182125895).

120002021101001 is a wasteful number, since it uses less digits than its factorization.

120002021101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610172.

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

Adding to 120002021101001 its reverse (100101120200021), we get a palindrome (220103141301022).

The spelling of 120002021101001 in words is "one hundred twenty trillion, two billion, twenty-one million, one hundred one thousand, one".