20142041340100 has 36 divisors (see below), whose sum is σ = 44323838592768. Its totient is φ = 7943340244000.

The previous prime is 20142041340089. The next prime is 20142041340119. The reversal of 20142041340100 is 104314024102.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1418446516 + ... + 1418460715.

It is an arithmetic number, because the mean of its divisors is an integer number (1231217738688).

Almost surely, 2^{20142041340100} is an apocalyptic number.

20142041340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20142041340100 is an abundant number, since it is smaller than the sum of its proper divisors (24181797252668).

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

20142041340100 is a wasteful number, since it uses less digits than its factorization.

20142041340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836907316 (or 2836907309 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20142041340100 its reverse (104314024102), we get a palindrome (20246355364202).

The spelling of 20142041340100 in words is "twenty trillion, one hundred forty-two billion, forty-one million, three hundred forty thousand, one hundred".