10142100441 has 24 divisors (see below), whose sum is σ = 16070801760. Its totient is φ = 6112377600.

The previous prime is 10142100439. The next prime is 10142100467. The reversal of 10142100441 is 14400124101.

10142100441 is a `hidden beast` number, since 1 + 0 + 14 + 210 + 0 + 441 = 666.

10142100441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142100441 - 2¹ = 10142100439 is a prime.

It is a super-3 number, since 3×10142100441³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142100481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268440 + ... + 303881.

It is an arithmetic number, because the mean of its divisors is an integer number (669616740).

Almost surely, 2^10142100441 is an apocalyptic number.

10142100441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142100441 is a deficient number, since it is larger than the sum of its proper divisors (5928701319).

10142100441 is a wasteful number, since it uses less digits than its factorization.

10142100441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572517 (or 572514 counting only the distinct ones).

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

Adding to 10142100441 its reverse (14400124101), we get a palindrome (24542224542).

The spelling of 10142100441 in words is "ten billion, one hundred forty-two million, one hundred thousand, four hundred forty-one".