120120100001 has 16 divisors (see below), whose sum is σ = 131957849088. Its totient is φ = 108435858000.

The previous prime is 120120099907. The next prime is 120120100003. The reversal of 120120100001 is 100001021021.

It is a cyclic number.

It is not a de Polignac number, because 120120100001 - 2³⁰ = 119046358177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120100003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909340 + ... + 4933746.

It is an arithmetic number, because the mean of its divisors is an integer number (8247365568).

Almost surely, 2^120120100001 is an apocalyptic number.

120120100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120120100001 is a deficient number, since it is larger than the sum of its proper divisors (11837749087).

120120100001 is a wasteful number, since it uses less digits than its factorization.

120120100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27532.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120120100001 its reverse (100001021021), we get a palindrome (220121121022).

The spelling of 120120100001 in words is "one hundred twenty billion, one hundred twenty million, one hundred thousand, one".