10540512105121 has 8 divisors (see below), whose sum is σ = 10619245072800. Its totient is φ = 10461820594080.

The previous prime is 10540512105107. The next prime is 10540512105143. The reversal of 10540512105121 is 12150121504501.

10540512105121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10540512105121 is a prime.

It is a super-2 number, since 2×10540512105121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10540512105121.

It is not an unprimeable number, because it can be changed into a prime (10540512105521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9853660 + ... + 10870861.

It is an arithmetic number, because the mean of its divisors is an integer number (1327405634100).

Almost surely, 2^{10540512105121} is an apocalyptic number.

It is an amenable number.

10540512105121 is a deficient number, since it is larger than the sum of its proper divisors (78732967679).

10540512105121 is a wasteful number, since it uses less digits than its factorization.

10540512105121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728319.

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 10540512105121 its reverse (12150121504501), we get a palindrome (22690633609622).

The spelling of 10540512105121 in words is "ten trillion, five hundred forty billion, five hundred twelve million, one hundred five thousand, one hundred twenty-one".