10142024101 has 72 divisors (see below), whose sum is σ = 12508985160. Its totient is φ = 8203345920.

The previous prime is 10142024071. The next prime is 10142024147.

It is a happy number.

10142024101 is nontrivially palindromic in base 10.

10142024101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 527076 + 10141497025 = 726^2 + 100705^2 .

It is not a de Polignac number, because 10142024101 - 2⁵ = 10142024069 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 (10142028101) 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 71 ways as a sum of consecutive naturals, for example, 74029305 + ... + 74029441.

It is an arithmetic number, because the mean of its divisors is an integer number (173735905).

Almost surely, 2^10142024101 is an apocalyptic number.

10142024101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142024101 is a deficient number, since it is larger than the sum of its proper divisors (2366961059).

10142024101 is a wasteful number, since it uses less digits than its factorization.

10142024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 101420 and 24101, that added together give a palindrome (125521).

The spelling of 10142024101 in words is "ten billion, one hundred forty-two million, twenty-four thousand, one hundred one".