10242110414142 has 80 divisors (see below), whose sum is σ = 23110541646192. Its totient is φ = 3390197120640.

The previous prime is 10242110414141. The next prime is 10242110414219. The reversal of 10242110414142 is 24141401124201.

10242110414142 is a `hidden beast` number, since 1 + 0 + 24 + 211 + 0 + 414 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242110414141) 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 39 ways as a sum of consecutive naturals, for example, 19771218 + ... + 20282634.

Almost surely, 2^{10242110414142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242110414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555270823096).

10242110414142 is an abundant number, since it is smaller than the sum of its proper divisors (12868431232050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10242110414142 is a wasteful number, since it uses less digits than its factorization.

10242110414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512295 (or 512286 counting only the distinct ones).

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

Adding to 10242110414142 its reverse (24141401124201), we get a palindrome (34383511538343).

The spelling of 10242110414142 in words is "ten trillion, two hundred forty-two billion, one hundred ten million, four hundred fourteen thousand, one hundred forty-two".