120011010121001 has 8 divisors (see below), whose sum is σ = 121980266290824. Its totient is φ = 118041814033920.

The previous prime is 120011010120973. The next prime is 120011010121021. The reversal of 120011010121001 is 100121010110021.

It can be written as a sum of positive squares in 4 ways, for example, as 3340249693225 + 116670760427776 = 1827635^2 + 10801424^2 .

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 120011010121001 - 2²² = 120011005926697 is a prime.

It is a super-4 number, since 4×120011010121001⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120011010121021) 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, 10984226 + ... + 18991451.

It is an arithmetic number, because the mean of its divisors is an integer number (15247533286353).

Almost surely, 2^{120011010121001} is an apocalyptic number.

It is an amenable number.

120011010121001 is a deficient number, since it is larger than the sum of its proper divisors (1969256169823).

120011010121001 is an equidigital number, since it uses as much as digits as its factorization.

120011010121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041371.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120011010121001 its reverse (100121010110021), we get a palindrome (220132020231022).

The spelling of 120011010121001 in words is "one hundred twenty trillion, eleven billion, ten million, one hundred twenty-one thousand, one".