120002001011001 has 14 divisors (see below), whose sum is σ = 179920695618410. Its totient is φ = 80001334006848.

The previous prime is 120002001010981. The next prime is 120002001011071. The reversal of 120002001011001 is 100110100200021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119857828161600 + 144172849401 = 10947960^2 + 379701^2 .

It is not a de Polignac number, because 120002001011001 - 2⁶ = 120002001010937 is a prime.

It is a super-2 number, since 2×120002001011001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120002001011071) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 82305898456 + ... + 82305899913.

Almost surely, 2^{120002001011001} is an apocalyptic number.

It is an amenable number.

120002001011001 is a deficient number, since it is larger than the sum of its proper divisors (59918694607409).

120002001011001 is an frugal number, since it uses more digits than its factorization.

120002001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164611798387 (or 164611798372 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120002001011001 its reverse (100110100200021), we get a palindrome (220112101211022).

The spelling of 120002001011001 in words is "one hundred twenty trillion, two billion, one million, eleven thousand, one".