10741138101 has 24 divisors (see below), whose sum is σ = 16470604800. Its totient is φ = 6721904256.

The previous prime is 10741138081. The next prime is 10741138123. The reversal of 10741138101 is 10183114701.

It is not a de Polignac number, because 10741138101 - 2¹³ = 10741129909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741138181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33051 + ... + 150248.

It is an arithmetic number, because the mean of its divisors is an integer number (686275200).

Almost surely, 2^10741138101 is an apocalyptic number.

It is an amenable number.

10741138101 is a deficient number, since it is larger than the sum of its proper divisors (5729466699).

10741138101 is a wasteful number, since it uses less digits than its factorization.

10741138101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183705 (or 183702 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 10741138101 in words is "ten billion, seven hundred forty-one million, one hundred thirty-eight thousand, one hundred one".