10120020121001 has 64 divisors (see below), whose sum is σ = 12161581056000. Its totient is φ = 8238140951040.

The previous prime is 10120020120997. The next prime is 10120020121037. The reversal of 10120020121001 is 10012102002101.

It is not a de Polignac number, because 10120020121001 - 2² = 10120020120997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10120020121051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7912446680 + ... + 7912447958.

It is an arithmetic number, because the mean of its divisors is an integer number (190024704000).

Almost surely, 2^{10120020121001} is an apocalyptic number.

It is an amenable number.

10120020121001 is a deficient number, since it is larger than the sum of its proper divisors (2041560934999).

10120020121001 is a wasteful number, since it uses less digits than its factorization.

10120020121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120020121001 its reverse (10012102002101), we get a palindrome (20132122123102).

The spelling of 10120020121001 in words is "ten trillion, one hundred twenty billion, twenty million, one hundred twenty-one thousand, one".