102201210120 has 64 divisors (see below), whose sum is σ = 308375968320. Its totient is φ = 27096114944.

The previous prime is 102201210109. The next prime is 102201210173. The reversal of 102201210120 is 21012102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102201210096 and 102201210105.

It is an unprimeable number.

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, 2440734 + ... + 2482253.

It is an arithmetic number, because the mean of its divisors is an integer number (4818374505).

Almost surely, 2^102201210120 is an apocalyptic number.

102201210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201210120 is an abundant number, since it is smaller than the sum of its proper divisors (206174758200).

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

102201210120 is a wasteful number, since it uses less digits than its factorization.

102201210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923174 (or 4923170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201210120 its reverse (21012102201), we get a palindrome (123213312321).

The spelling of 102201210120 in words is "one hundred two billion, two hundred one million, two hundred ten thousand, one hundred twenty".