102120100220120 has 16 divisors (see below), whose sum is σ = 229770225495360. Its totient is φ = 40848040088032.

The previous prime is 102120100220111. The next prime is 102120100220123. The reversal of 102120100220120 is 21022001021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120100220095 and 102120100220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120100220123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276501252712 + ... + 1276501252791.

It is an arithmetic number, because the mean of its divisors is an integer number (14360639093460).

Almost surely, 2^{102120100220120} is an apocalyptic number.

102120100220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120100220120 is an abundant number, since it is smaller than the sum of its proper divisors (127650125275240).

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

102120100220120 is a wasteful number, since it uses less digits than its factorization.

102120100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553002505514 (or 2553002505510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120100220120 its reverse (21022001021201), we get a palindrome (123142101241321).

The spelling of 102120100220120 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, two hundred twenty thousand, one hundred twenty".