10134122143101 has 16 divisors (see below), whose sum is σ = 14886487257408. Its totient is φ = 6081081392000.

The previous prime is 10134122143049. The next prime is 10134122143127.

10134122143101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10134122143101 - 2¹⁴ = 10134122126717 is a prime.

It is a super-2 number, since 2×10134122143101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134122143181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520267016 + ... + 1520273681.

It is an arithmetic number, because the mean of its divisors is an integer number (930405453588).

Almost surely, 2^{10134122143101} is an apocalyptic number.

10134122143101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10134122143101 is a deficient number, since it is larger than the sum of its proper divisors (4752365114307).

10134122143101 is a wasteful number, since it uses less digits than its factorization.

10134122143101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040540812.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1013412 and 2143101, that added together give a palindrome (3156513).

The spelling of 10134122143101 in words is "ten trillion, one hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, one hundred one".