11634115302101 has 16 divisors (see below), whose sum is σ = 12353968631088. Its totient is φ = 10918208716800.

The previous prime is 11634115302059. The next prime is 11634115302119. The reversal of 11634115302101 is 10120351143611.

It can be written as a sum of positive squares in 8 ways, for example, as 3497644299601 + 8136471002500 = 1870199^2 + 2852450^2 .

It is a cyclic number.

It is not a de Polignac number, because 11634115302101 - 2⁶ = 11634115302037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634115302301) 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 15 ways as a sum of consecutive naturals, for example, 185045411 + ... + 185108271.

It is an arithmetic number, because the mean of its divisors is an integer number (772123039443).

Almost surely, 2^{11634115302101} is an apocalyptic number.

It is an amenable number.

11634115302101 is a deficient number, since it is larger than the sum of its proper divisors (719853328987).

11634115302101 is a wasteful number, since it uses less digits than its factorization.

11634115302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94072.

The product of its (nonzero) digits is 2160, while the sum is 29.

Adding to 11634115302101 its reverse (10120351143611), we get a palindrome (21754466445712).

The spelling of 11634115302101 in words is "eleven trillion, six hundred thirty-four billion, one hundred fifteen million, three hundred two thousand, one hundred one".