10121010121 has 16 divisors (see below), whose sum is σ = 10605042000. Its totient is φ = 9646560000.

The previous prime is 10121010113. The next prime is 10121010149. The reversal of 10121010121 is 12101012101.

10121010121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10121010121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 4390520121 + 5730490000 = 66261^2 + 75700^2 .

It is not a de Polignac number, because 10121010121 - 2³ = 10121010113 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121010098 and 10121010107.

It is not an unprimeable number, because it can be changed into a prime (10121010191) 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 15 ways as a sum of consecutive naturals, for example, 1017271 + ... + 1027171.

It is an arithmetic number, because the mean of its divisors is an integer number (662815125).

Almost surely, 2^10121010121 is an apocalyptic number.

It is an amenable number.

10121010121 is a deficient number, since it is larger than the sum of its proper divisors (484031879).

10121010121 is a wasteful number, since it uses less digits than its factorization.

10121010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121010121 its reverse (12101012101), we get a palindrome (22222022222).

The spelling of 10121010121 in words is "ten billion, one hundred twenty-one million, ten thousand, one hundred twenty-one".