10142124041401 has 16 divisors (see below), whose sum is σ = 11648285510400. Its totient is φ = 8733473211600.

The previous prime is 10142124041393. The next prime is 10142124041479. The reversal of 10142124041401 is 10414042124101.

It is a cyclic number.

It is not a de Polignac number, because 10142124041401 - 2³ = 10142124041393 is a prime.

It is a super-3 number, since 3×10142124041401³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142124048401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470435 + ... + 5136856.

It is an arithmetic number, because the mean of its divisors is an integer number (728017844400).

Almost surely, 2^{10142124041401} is an apocalyptic number.

10142124041401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142124041401 is a deficient number, since it is larger than the sum of its proper divisors (1506161468999).

10142124041401 is a wasteful number, since it uses less digits than its factorization.

10142124041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613700.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10142124041401 its reverse (10414042124101), we get a palindrome (20556166165502).

The spelling of 10142124041401 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, forty-one thousand, four hundred one".