102120122102020 has 48 divisors (see below), whose sum is σ = 233952951246336. Its totient is φ = 37133790624000.

The previous prime is 102120122101993. The next prime is 102120122102021. The reversal of 102120122102020 is 20201221021201.

It is a happy number.

102120122102020 is digitally balanced in base 3, because in such base 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 = 102120122101985 and 102120122102003.

It is not an unprimeable number, because it can be changed into a prime (102120122102021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5297965 + ... + 15241675.

It is an arithmetic number, because the mean of its divisors is an integer number (4874019817632).

Almost surely, 2^{102120122102020} is an apocalyptic number.

102120122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120122102020 is an abundant number, since it is smaller than the sum of its proper divisors (131832829144316).

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

102120122102020 is a wasteful number, since it uses less digits than its factorization.

102120122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990412 (or 9990410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120122102020 its reverse (20201221021201), we get a palindrome (122321343123221).

The spelling of 102120122102020 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, twenty".