10142201442420 has 48 divisors (see below), whose sum is σ = 31553515600320. Its totient is φ = 2704587051168.

The previous prime is 10142201442371. The next prime is 10142201442421. The reversal of 10142201442420 is 2424410224101.

10142201442420 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 220 + 14 + 4 + 2 + 420 = 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 (10142201442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9390926722 + ... + 9390927801.

It is an arithmetic number, because the mean of its divisors is an integer number (657364908340).

Almost surely, 2^{10142201442420} is an apocalyptic number.

10142201442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142201442420 is an abundant number, since it is smaller than the sum of its proper divisors (21411314157900).

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

10142201442420 is a wasteful number, since it uses less digits than its factorization.

10142201442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781854541 (or 18781854533 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10142201442420 its reverse (2424410224101), we get a palindrome (12566611666521).

The spelling of 10142201442420 in words is "ten trillion, one hundred forty-two billion, two hundred one million, four hundred forty-two thousand, four hundred twenty".