10355534115121 has 8 divisors (see below), whose sum is σ = 11152336726440. Its totient is φ = 9558763370112.

The previous prime is 10355534115119. The next prime is 10355534115127. The reversal of 10355534115121 is 12151143555301.

It can be written as a sum of positive squares in 4 ways, for example, as 42855210225 + 10312678904896 = 207015^2 + 3211336^2 .

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 10355534115121 - 2¹ = 10355534115119 is a prime.

It is a super-3 number, since 3×10355534115121³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355534115127) 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 7 ways as a sum of consecutive naturals, for example, 7289506 + ... + 8593483.

It is an arithmetic number, because the mean of its divisors is an integer number (1394042090805).

Almost surely, 2^{10355534115121} is an apocalyptic number.

It is an amenable number.

10355534115121 is a deficient number, since it is larger than the sum of its proper divisors (796802611319).

10355534115121 is a wasteful number, since it uses less digits than its factorization.

10355534115121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933155.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 10355534115121 in words is "ten trillion, three hundred fifty-five billion, five hundred thirty-four million, one hundred fifteen thousand, one hundred twenty-one".