10134366343101 has 192 divisors, whose sum is σ = 20860241665536. Its totient is φ = 4562882150400.

The previous prime is 10134366343097. The next prime is 10134366343103.

10134366343101 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 3 + 6 + 634 + 3 + 10 + 1 = 666.

10134366343101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10134366343101 - 2² = 10134366343097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134366343103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64398825 + ... + 64556001.

It is an arithmetic number, because the mean of its divisors is an integer number (108647092008).

Almost surely, 2^{10134366343101} is an apocalyptic number.

10134366343101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10134366343101 is an abundant number, since it is smaller than the sum of its proper divisors (10725875322435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10134366343101 is a wasteful number, since it uses less digits than its factorization.

10134366343101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157652 (or 157649 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1013436 and 6343101, that added together give a palindrome (7356537).

The spelling of 10134366343101 in words is "ten trillion, one hundred thirty-four billion, three hundred sixty-six million, three hundred forty-three thousand, one hundred one".