102200120010 has 128 divisors (see below), whose sum is σ = 276651417600. Its totient is φ = 26842374720.

The previous prime is 102200119999. The next prime is 102200120021. The reversal of 102200120010 is 10021002201.

It is an interprime number because it is at equal distance from previous prime (102200119999) and next prime (102200120021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102200119974 and 102200120001.

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 63 ways as a sum of consecutive naturals, for example, 25053151 + ... + 25057229.

It is an arithmetic number, because the mean of its divisors is an integer number (2161339200).

Almost surely, 2^102200120010 is an apocalyptic number.

102200120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138325708800).

102200120010 is an abundant number, since it is smaller than the sum of its proper divisors (174451297590).

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

102200120010 is a wasteful number, since it uses less digits than its factorization.

102200120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200120010 its reverse (10021002201), we get a palindrome (112221122211).

The spelling of 102200120010 in words is "one hundred two billion, two hundred million, one hundred twenty thousand, ten".