11012116516129 has 16 divisors (see below), whose sum is σ = 11397149752320. Its totient is φ = 10633564431360.

The previous prime is 11012116516127. The next prime is 11012116516139. The reversal of 11012116516129 is 92161561121011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11012116516129 - 2¹ = 11012116516127 is a prime.

It is a super-2 number, since 2×11012116516129² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11012116516123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3963817 + ... + 6142969.

It is an arithmetic number, because the mean of its divisors is an integer number (712321859520).

Almost surely, 2^{11012116516129} is an apocalyptic number.

It is an amenable number.

11012116516129 is a deficient number, since it is larger than the sum of its proper divisors (385033236191).

11012116516129 is a wasteful number, since it uses less digits than its factorization.

11012116516129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180640.

The product of its (nonzero) digits is 6480, while the sum is 37.

The spelling of 11012116516129 in words is "eleven trillion, twelve billion, one hundred sixteen million, five hundred sixteen thousand, one hundred twenty-nine".