10142124122421 has 48 divisors (see below), whose sum is σ = 15593231188080. Its totient is φ = 6330228848640.

The previous prime is 10142124122323. The next prime is 10142124122443. The reversal of 10142124122421 is 12422142124101.

10142124122421 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 1 + 2 + 412 + 242 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13786047396 + 10128338075025 = 117414^2 + 3182505^2 .

It is not a de Polignac number, because 10142124122421 - 2²² = 10142119928117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142124122491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24043395 + ... + 24461583.

It is an arithmetic number, because the mean of its divisors is an integer number (324858983085).

Almost surely, 2^{10142124122421} is an apocalyptic number.

It is an amenable number.

10142124122421 is a deficient number, since it is larger than the sum of its proper divisors (5451107065659).

10142124122421 is a wasteful number, since it uses less digits than its factorization.

10142124122421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419046 (or 419043 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10142124122421 its reverse (12422142124101), we get a palindrome (22564266246522).

The spelling of 10142124122421 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, one hundred twenty-two thousand, four hundred twenty-one".