10100120120121 has 16 divisors (see below), whose sum is σ = 13493903544000. Its totient is φ = 6719876271168.

The previous prime is 10100120120117. The next prime is 10100120120227. The reversal of 10100120120121 is 12102102100101.

It is not a de Polignac number, because 10100120120121 - 2² = 10100120120117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100120120097 and 10100120120106.

It is not an unprimeable number, because it can be changed into a prime (10100120120621) 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 15 ways as a sum of consecutive naturals, for example, 35938455 + ... + 36218403.

It is an arithmetic number, because the mean of its divisors is an integer number (843368971500).

Almost surely, 2^{10100120120121} is an apocalyptic number.

It is an amenable number.

10100120120121 is a deficient number, since it is larger than the sum of its proper divisors (3393783423879).

10100120120121 is a wasteful number, since it uses less digits than its factorization.

10100120120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304088.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100120120121 its reverse (12102102100101), we get a palindrome (22202222220222).

The spelling of 10100120120121 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-one".