102420221200 has 240 divisors, whose sum is σ = 271753517376. Its totient is φ = 36786534400.

The previous prime is 102420221191. The next prime is 102420221251. The reversal of 102420221200 is 2122024201.

102420221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102420221200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149956059 + ... + 149956741.

Almost surely, 2^102420221200 is an apocalyptic number.

102420221200 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 102420221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135876758688).

102420221200 is an abundant number, since it is smaller than the sum of its proper divisors (169333296176).

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

102420221200 is a wasteful number, since it uses less digits than its factorization.

102420221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102420221200 its reverse (2122024201), we get a palindrome (104542245401).

The spelling of 102420221200 in words is "one hundred two billion, four hundred twenty million, two hundred twenty-one thousand, two hundred".