102102121212120 has 192 divisors, whose sum is σ = 343744745198400. Its totient is φ = 26264690749440.

The previous prime is 102102121212103. The next prime is 102102121212163. The reversal of 102102121212120 is 21212121201201.

102102121212120 is a `hidden beast` number, since 1 + 0 + 210 + 2 + 121 + 212 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102102121212093 and 102102121212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37548652 + ... + 40175931.

It is an arithmetic number, because the mean of its divisors is an integer number (1790337214575).

Almost surely, 2^{102102121212120} is an apocalyptic number.

102102121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102121212120 is an abundant number, since it is smaller than the sum of its proper divisors (241642623986280).

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

102102121212120 is a wasteful number, since it uses less digits than its factorization.

102102121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77724730 (or 77724723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102102121212120 its reverse (21212121201201), we get a palindrome (123314242413321).

The spelling of 102102121212120 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".