120101101101211 has 8 divisors (see below), whose sum is σ = 123978120499584. Its totient is φ = 116224256098560.

The previous prime is 120101101101139. The next prime is 120101101101227. The reversal of 120101101101211 is 112101101101021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120101101101211 - 2⁷ = 120101101101083 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120101101101191 and 120101101101200.

It is not an unprimeable number, because it can be changed into a prime (120101101102211) 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 7 ways as a sum of consecutive naturals, for example, 42198646 + ... + 44954731.

It is an arithmetic number, because the mean of its divisors is an integer number (15497265062448).

Almost surely, 2^{120101101101211} is an apocalyptic number.

120101101101211 is a deficient number, since it is larger than the sum of its proper divisors (3877019398373).

120101101101211 is an equidigital number, since it uses as much as digits as its factorization.

120101101101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87197861.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 120101101101211 its reverse (112101101101021), we get a palindrome (232202202202232).

The spelling of 120101101101211 in words is "one hundred twenty trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred eleven".