100120034034 has 48 divisors (see below), whose sum is σ = 226459202112. Its totient is φ = 31908105504.

The previous prime is 100120034017. The next prime is 100120034099. The reversal of 100120034034 is 430430021001.

100120034034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100120033998 and 100120034016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896569 + ... + 1002035.

It is an arithmetic number, because the mean of its divisors is an integer number (4717900044).

Almost surely, 2^100120034034 is an apocalyptic number.

100120034034 is an abundant number, since it is smaller than the sum of its proper divisors (126339168078).

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

100120034034 is a wasteful number, since it uses less digits than its factorization.

100120034034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107791 (or 107788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100120034034 its reverse (430430021001), we get a palindrome (530550055035).

The spelling of 100120034034 in words is "one hundred billion, one hundred twenty million, thirty-four thousand, thirty-four".