120201101021001 has 64 divisors (see below), whose sum is σ = 221001003933696. Its totient is φ = 56081081721600.

The previous prime is 120201101020907. The next prime is 120201101021003. The reversal of 120201101021001 is 100120101102021.

It is not a de Polignac number, because 120201101021001 - 2⁹ = 120201101020489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120201101021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540794385 + ... + 541016606.

It is an arithmetic number, because the mean of its divisors is an integer number (3453140686464).

Almost surely, 2^{120201101021001} is an apocalyptic number.

120201101021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120201101021001 is a deficient number, since it is larger than the sum of its proper divisors (100799902912695).

120201101021001 is a wasteful number, since it uses less digits than its factorization.

120201101021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081811062.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120201101021001 its reverse (100120101102021), we get a palindrome (220321202123022).

The spelling of 120201101021001 in words is "one hundred twenty trillion, two hundred one billion, one hundred one million, twenty-one thousand, one".