10142044101 has 64 divisors (see below), whose sum is σ = 17492213760. Its totient is φ = 5759298288.

The previous prime is 10142044091. The next prime is 10142044117. The reversal of 10142044101 is 10144024101.

10142044101 is a `hidden beast` number, since 101 + 420 + 44 + 101 = 666.

10142044101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142044101 - 2¹⁴ = 10142027717 is a prime.

It is a super-2 number, since 2×10142044101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142044001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2554620 + ... + 2558586.

It is an arithmetic number, because the mean of its divisors is an integer number (273315840).

Almost surely, 2^10142044101 is an apocalyptic number.

It is an amenable number.

10142044101 is a deficient number, since it is larger than the sum of its proper divisors (7350169659).

10142044101 is an frugal number, since it uses more digits than its factorization.

10142044101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10142044101 its reverse (10144024101), we get a palindrome (20286068202).

The spelling of 10142044101 in words is "ten billion, one hundred forty-two million, forty-four thousand, one hundred one".