102420342200 has 96 divisors (see below), whose sum is σ = 259891580160. Its totient is φ = 37227081600.

The previous prime is 102420342197. The next prime is 102420342259. The reversal of 102420342200 is 2243024201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5585447 + ... + 5603753.

It is an arithmetic number, because the mean of its divisors is an integer number (2707203960).

Almost surely, 2^102420342200 is an apocalyptic number.

102420342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102420342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129945790080).

102420342200 is an abundant number, since it is smaller than the sum of its proper divisors (157471237960).

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

102420342200 is a wasteful number, since it uses less digits than its factorization.

102420342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102420342200 its reverse (2243024201), we get a palindrome (104663366401).

The spelling of 102420342200 in words is "one hundred two billion, four hundred twenty million, three hundred forty-two thousand, two hundred".