115061106556121 has 24 divisors (see below), whose sum is σ = 128614085145672. Its totient is φ = 102831291763200.

The previous prime is 115061106556069. The next prime is 115061106556129. The reversal of 115061106556121 is 121655601160511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23919715600 + 115037186840521 = 154660^2 + 10725539^2 .

It is not a de Polignac number, because 115061106556121 - 2¹⁰ = 115061106555097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115061106556129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9663155 + ... + 17986071.

It is an arithmetic number, because the mean of its divisors is an integer number (5358920214403).

Almost surely, 2^{115061106556121} is an apocalyptic number.

115061106556121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115061106556121 is a deficient number, since it is larger than the sum of its proper divisors (13552978589551).

115061106556121 is a wasteful number, since it uses less digits than its factorization.

115061106556121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324873 (or 8324862 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 41.

The spelling of 115061106556121 in words is "one hundred fifteen trillion, sixty-one billion, one hundred six million, five hundred fifty-six thousand, one hundred twenty-one".