10541101014 has 24 divisors (see below), whose sum is σ = 23456325360. Its totient is φ = 3418735248.

The previous prime is 10541101013. The next prime is 10541101033. The reversal of 10541101014 is 41010114501.

10541101014 is a `hidden beast` number, since 10 + 541 + 10 + 101 + 4 = 666.

It is a super-2 number, since 2×10541101014² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7913074 + ... + 7914405.

It is an arithmetic number, because the mean of its divisors is an integer number (977346890).

Almost surely, 2^10541101014 is an apocalyptic number.

10541101014 is an abundant number, since it is smaller than the sum of its proper divisors (12915224346).

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

10541101014 is a wasteful number, since it uses less digits than its factorization.

10541101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827524 (or 15827521 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10541101014 its reverse (41010114501), we get a palindrome (51551215515).

The spelling of 10541101014 in words is "ten billion, five hundred forty-one million, one hundred one thousand, fourteen".