102101200120 has 64 divisors (see below), whose sum is σ = 234679939200. Its totient is φ = 39960560640.

The previous prime is 102101200109. The next prime is 102101200141. The reversal of 102101200120 is 21002101201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101200097 and 102101200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11894230 + ... + 11902810.

It is an arithmetic number, because the mean of its divisors is an integer number (3666874050).

Almost surely, 2^102101200120 is an apocalyptic number.

102101200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101200120 is an abundant number, since it is smaller than the sum of its proper divisors (132578739080).

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

102101200120 is a wasteful number, since it uses less digits than its factorization.

102101200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14968 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101200120 its reverse (21002101201), we get a palindrome (123103301321).

The spelling of 102101200120 in words is "one hundred two billion, one hundred one million, two hundred thousand, one hundred twenty".