120763200100 has 243 divisors, whose sum is σ = 290709942201. Its totient is φ = 43536052800.

The previous prime is 120763200073. The next prime is 120763200109. The reversal of 120763200100 is 1002367021.

The square root of 120763200100 is 347510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43474752036 + 77288448064 = 208506^2 + 278008^2 .

It is not an unprimeable number, because it can be changed into a prime (120763200109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2046833871 + ... + 2046833929.

Almost surely, 2^120763200100 is an apocalyptic number.

120763200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120763200100 is the 347510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120763200100

120763200100 is an abundant number, since it is smaller than the sum of its proper divisors (169946742101).

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

120763200100 is a wasteful number, since it uses less digits than its factorization.

120763200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 120763200100 its reverse (1002367021), we get a palindrome (121765567121).

The spelling of 120763200100 in words is "one hundred twenty billion, seven hundred sixty-three million, two hundred thousand, one hundred".