2101000343442 has 384 divisors, whose sum is σ = 5948747868672. Its totient is φ = 480844615680.

The previous prime is 2101000343419. The next prime is 2101000343447. The reversal of 2101000343442 is 2443430001012.

It is not an unprimeable number, because it can be changed into a prime (2101000343447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129547318 + ... + 129563534.

It is an arithmetic number, because the mean of its divisors is an integer number (15491530908).

Almost surely, 2^{2101000343442} is an apocalyptic number.

2101000343442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101000343442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974373934336).

2101000343442 is an abundant number, since it is smaller than the sum of its proper divisors (3847747525230).

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

2101000343442 is a wasteful number, since it uses less digits than its factorization.

2101000343442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16354 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2101000343442 its reverse (2443430001012), we get a palindrome (4544430344454).

It can be divided in two parts, 2101000 and 343442, that added together give a palindrome (2444442).

The spelling of 2101000343442 in words is "two trillion, one hundred one billion, three hundred forty-three thousand, four hundred forty-two".