334234422000100 has 144 divisors (see below), whose sum is σ = 729922666334400. Its totient is φ = 132842664824320.

The previous prime is 334234422000067. The next prime is 334234422000137. The reversal of 334234422000100 is 1000224432433.

It is a super-2 number, since 2×334234422000100² (a number of 30 digits) contains 22 as substring.

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, 24295582422 + ... + 24295596178.

It is an arithmetic number, because the mean of its divisors is an integer number (5068907405100).

Almost surely, 2^{334234422000100} is an apocalyptic number.

It is an amenable number.

334234422000100 is an abundant number, since it is smaller than the sum of its proper divisors (395688244334300).

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

334234422000100 is a wasteful number, since it uses less digits than its factorization.

334234422000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462 (or 16455 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 334234422000100 its reverse (1000224432433), we get a palindrome (335234646432533).

The spelling of 334234422000100 in words is "three hundred thirty-four trillion, two hundred thirty-four billion, four hundred twenty-two million, one hundred", and thus it is an aban number.