10000134412121 has 32 divisors (see below), whose sum is σ = 12272969415168. Its totient is φ = 7952719380480.

The previous prime is 10000134412097. The next prime is 10000134412141. The reversal of 10000134412121 is 12121443100001.

10000134412121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000134412121 - 2¹⁴ = 10000134395737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000134412093 and 10000134412102.

It is not an unprimeable number, because it can be changed into a prime (10000134412141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71856821 + ... + 71995853.

It is an arithmetic number, because the mean of its divisors is an integer number (383530294224).

Almost surely, 2^{10000134412121} is an apocalyptic number.

It is an amenable number.

10000134412121 is a deficient number, since it is larger than the sum of its proper divisors (2272835003047).

10000134412121 is a wasteful number, since it uses less digits than its factorization.

10000134412121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147641.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10000134412121 its reverse (12121443100001), we get a palindrome (22121577512122).

The spelling of 10000134412121 in words is "ten trillion, one hundred thirty-four million, four hundred twelve thousand, one hundred twenty-one".