102210200120 has 64 divisors (see below), whose sum is σ = 265378014720. Its totient is φ = 34703259264.

The previous prime is 102210200119. The next prime is 102210200129. The reversal of 102210200120 is 21002012201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210200129) 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, 1743182 + ... + 1800861.

It is an arithmetic number, because the mean of its divisors is an integer number (4146531480).

Almost surely, 2^102210200120 is an apocalyptic number.

102210200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210200120 is an abundant number, since it is smaller than the sum of its proper divisors (163167814600).

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

102210200120 is a wasteful number, since it uses less digits than its factorization.

102210200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544164 (or 3544160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102210200120 its reverse (21002012201), we get a palindrome (123212212321).

The spelling of 102210200120 in words is "one hundred two billion, two hundred ten million, two hundred thousand, one hundred twenty".