100034221124432 has 80 divisors (see below), whose sum is σ = 235972873948032. Its totient is φ = 40102392176640.

The previous prime is 100034221124417. The next prime is 100034221124531. The reversal of 100034221124432 is 234421122430001.

It is a junction number, because it is equal to n+sod(n) for n = 100034221124395 and 100034221124404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160852169 + ... + 161472872.

Almost surely, 2^{100034221124432} is an apocalyptic number.

It is an amenable number.

100034221124432 is an abundant number, since it is smaller than the sum of its proper divisors (135938652823600).

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

100034221124432 is a wasteful number, since it uses less digits than its factorization.

100034221124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322325236 (or 322325230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 100034221124432 its reverse (234421122430001), we get a palindrome (334455343554433).

The spelling of 100034221124432 in words is "one hundred trillion, thirty-four billion, two hundred twenty-one million, one hundred twenty-four thousand, four hundred thirty-two".