10142114324112 has 140 divisors (see below), whose sum is σ = 29472655492044. Its totient is φ = 3379486924800.

The previous prime is 10142114324101. The next prime is 10142114324191. The reversal of 10142114324112 is 21142341124101.

10142114324112 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 211 + 4 + 32 + 411 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7726153923216 + 2415960400896 = 2779596^2 + 1554336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32515648 + ... + 32826080.

Almost surely, 2^{10142114324112} is an apocalyptic number.

10142114324112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142114324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736327746022).

10142114324112 is an abundant number, since it is smaller than the sum of its proper divisors (19330541167932).

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

10142114324112 is an equidigital number, since it uses as much as digits as its factorization.

10142114324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313260 (or 313239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10142114324112 its reverse (21142341124101), we get a palindrome (31284455448213).

The spelling of 10142114324112 in words is "ten trillion, one hundred forty-two billion, one hundred fourteen million, three hundred twenty-four thousand, one hundred twelve".