202102102120120 has 64 divisors (see below), whose sum is σ = 464582298660480. Its totient is φ = 79090587626496.

The previous prime is 202102102120117. The next prime is 202102102120153. The reversal of 202102102120120 is 21021201201202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202102102120094 and 202102102120103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15619039 + ... + 25458958.

It is an arithmetic number, because the mean of its divisors is an integer number (7259098416570).

Almost surely, 2^{202102102120120} is an apocalyptic number.

202102102120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102102120120 is an abundant number, since it is smaller than the sum of its proper divisors (262480196540360).

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

202102102120120 is a wasteful number, since it uses less digits than its factorization.

202102102120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41080672 (or 41080668 counting only the distinct ones).

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

Adding to 202102102120120 its reverse (21021201201202), we get a palindrome (223123303321322).

The spelling of 202102102120120 in words is "two hundred two trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, one hundred twenty".