201034414120 has 32 divisors (see below), whose sum is σ = 461951424000. Its totient is φ = 78702833728.

The previous prime is 201034414099. The next prime is 201034414153. The reversal of 201034414120 is 21414430102.

It is a happy number.

201034414120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201034414091 and 201034414100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53464720 + ... + 53468479.

It is an arithmetic number, because the mean of its divisors is an integer number (14435982000).

Almost surely, 2^201034414120 is an apocalyptic number.

201034414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201034414120 is an abundant number, since it is smaller than the sum of its proper divisors (260917009880).

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

201034414120 is a wasteful number, since it uses less digits than its factorization.

201034414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106933257 (or 106933253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201034414120 its reverse (21414430102), we get a palindrome (222448844222).

The spelling of 201034414120 in words is "two hundred one billion, thirty-four million, four hundred fourteen thousand, one hundred twenty".