120210101121001 has 8 divisors (see below), whose sum is σ = 120305126284200. Its totient is φ = 120115094661120.

The previous prime is 120210101120959. The next prime is 120210101121119. The reversal of 120210101121001 is 100121101012021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79569539870976 + 40640561250025 = 8920176^2 + 6374995^2 .

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 120210101121001 - 2²³ = 120210092732393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120210101721001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8197665 + ... + 17539153.

It is an arithmetic number, because the mean of its divisors is an integer number (15038140785525).

Almost surely, 2^{120210101121001} is an apocalyptic number.

It is an amenable number.

120210101121001 is a deficient number, since it is larger than the sum of its proper divisors (95025163199).

120210101121001 is an equidigital number, since it uses as much as digits as its factorization.

120210101121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351659.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120210101121001 its reverse (100121101012021), we get a palindrome (220331202133022).

The spelling of 120210101121001 in words is "one hundred twenty trillion, two hundred ten billion, one hundred one million, one hundred twenty-one thousand, one".