10012120101121 has 8 divisors (see below), whose sum is σ = 10059200296704. Its totient is φ = 9965075031840.

The previous prime is 10012120101119. The next prime is 10012120101163. The reversal of 10012120101121 is 12110102121001.

It is a happy number.

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 10012120101121 - 2¹ = 10012120101119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012120101521) 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 7 ways as a sum of consecutive naturals, for example, 8210085 + ... + 9350386.

It is an arithmetic number, because the mean of its divisors is an integer number (1257400037088).

Almost surely, 2^{10012120101121} is an apocalyptic number.

It is an amenable number.

10012120101121 is a deficient number, since it is larger than the sum of its proper divisors (47080195583).

10012120101121 is a wasteful number, since it uses less digits than its factorization.

10012120101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17563151.

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

Adding to 10012120101121 its reverse (12110102121001), we get a palindrome (22122222222122).

The spelling of 10012120101121 in words is "ten trillion, twelve billion, one hundred twenty million, one hundred one thousand, one hundred twenty-one".