120200103133110 has 768 divisors, whose sum is σ = 449685552476160. Its totient is φ = 21456917729280.

The previous prime is 120200103133093. The next prime is 120200103133111. The reversal of 120200103133110 is 11331301002021.

120200103133110 is a `hidden beast` number, since 1 + 20 + 20 + 0 + 1 + 0 + 313 + 311 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200103133111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75882676 + ... + 77450504.

It is an arithmetic number, because the mean of its divisors is an integer number (585528063120).

Almost surely, 2^{120200103133110} is an apocalyptic number.

120200103133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200103133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224842776238080).

120200103133110 is an abundant number, since it is smaller than the sum of its proper divisors (329485449343050).

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

120200103133110 is a wasteful number, since it uses less digits than its factorization.

120200103133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567933 (or 1567930 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120200103133110 its reverse (11331301002021), we get a palindrome (131531404135131).

The spelling of 120200103133110 in words is "one hundred twenty trillion, two hundred billion, one hundred three million, one hundred thirty-three thousand, one hundred ten".