2142303120100 has 144 divisors (see below), whose sum is σ = 5467756041216. Its totient is φ = 718274304000.

The previous prime is 2142303120053. The next prime is 2142303120121. The reversal of 2142303120100 is 10213032412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12513277 + ... + 12683323.

It is an arithmetic number, because the mean of its divisors is an integer number (37970528064).

Almost surely, 2^{2142303120100} is an apocalyptic number.

2142303120100 is a gapful number since it is divisible by the number (20) 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 2142303120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733878020608).

2142303120100 is an abundant number, since it is smaller than the sum of its proper divisors (3325452921116).

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

2142303120100 is a wasteful number, since it uses less digits than its factorization.

2142303120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170966 (or 170959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2142303120100 its reverse (10213032412), we get a palindrome (2152516152512).

The spelling of 2142303120100 in words is "two trillion, one hundred forty-two billion, three hundred three million, one hundred twenty thousand, one hundred".