120120021001101 has 64 divisors (see below), whose sum is σ = 187915224268800. Its totient is φ = 67470005592000.

The previous prime is 120120021001091. The next prime is 120120021001133. The reversal of 120120021001101 is 101100120021021.

It is not a de Polignac number, because 120120021001101 - 2⁶ = 120120021001037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120021001501) 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, 63277626 + ... + 65148276.

It is an arithmetic number, because the mean of its divisors is an integer number (2936175379200).

Almost surely, 2^{120120021001101} is an apocalyptic number.

120120021001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120120021001101 is a deficient number, since it is larger than the sum of its proper divisors (67795203267699).

120120021001101 is a wasteful number, since it uses less digits than its factorization.

120120021001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872910.

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

Adding to 120120021001101 its reverse (101100120021021), we get a palindrome (221220141022122).

The spelling of 120120021001101 in words is "one hundred twenty trillion, one hundred twenty billion, twenty-one million, one thousand, one hundred one".