120000120010001 has 32 divisors (see below), whose sum is σ = 150385748173056. Its totient is φ = 93023331840000.

The previous prime is 120000120009989. The next prime is 120000120010013. The reversal of 120000120010001 is 100010021000021.

It is an interprime number because it is at equal distance from previous prime (120000120009989) and next prime (120000120010013).

It is a cyclic number.

It is not a de Polignac number, because 120000120010001 - 2³⁰ = 119999046268177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120000120010031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6307481 + ... + 16726761.

It is an arithmetic number, because the mean of its divisors is an integer number (4699554630408).

Almost surely, 2^{120000120010001} is an apocalyptic number.

120000120010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000120010001 is a deficient number, since it is larger than the sum of its proper divisors (30385628163055).

120000120010001 is a wasteful number, since it uses less digits than its factorization.

120000120010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420073.

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

Adding to 120000120010001 its reverse (100010021000021), we get a palindrome (220010141010022).

The spelling of 120000120010001 in words is "one hundred twenty trillion, one hundred twenty million, ten thousand, one".