120120200100110 has 128 divisors (see below), whose sum is σ = 250056079257600. Its totient is φ = 40695395779584.

The previous prime is 120120200100101. The next prime is 120120200100119. The reversal of 120120200100110 is 11001002021021.

It is an interprime number because it is at equal distance from previous prime (120120200100101) and next prime (120120200100119).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120120200100091 and 120120200100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120200100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2816462066 + ... + 2816504714.

It is an arithmetic number, because the mean of its divisors is an integer number (1953563119200).

Almost surely, 2^{120120200100110} is an apocalyptic number.

120120200100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120120200100110 is an abundant number, since it is smaller than the sum of its proper divisors (129935879157490).

120120200100110 is a wasteful number, since it uses less digits than its factorization.

120120200100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44250.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120120200100110 its reverse (11001002021021), we get a palindrome (131121202121131).

The spelling of 120120200100110 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred million, one hundred thousand, one hundred ten".