2142100013020 has 96 divisors (see below), whose sum is σ = 5115814889472. Its totient is φ = 746354400000.

The previous prime is 2142100012991. The next prime is 2142100013029. The reversal of 2142100013020 is 203100012412.

It is a junction number, because it is equal to n+sod(n) for n = 2142100012985 and 2142100013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142100013029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866086 + ... + 2243725.

It is an arithmetic number, because the mean of its divisors is an integer number (53289738432).

Almost surely, 2^{2142100013020} is an apocalyptic number.

2142100013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142100013020 is an abundant number, since it is smaller than the sum of its proper divisors (2973714876452).

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

2142100013020 is a wasteful number, since it uses less digits than its factorization.

2142100013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109963 (or 3109961 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2142100013020 its reverse (203100012412), we get a palindrome (2345200025432).

The spelling of 2142100013020 in words is "two trillion, one hundred forty-two billion, one hundred million, thirteen thousand, twenty".