102000021200 has 240 divisors, whose sum is σ = 308557572480. Its totient is φ = 31476480000.

The previous prime is 102000021191. The next prime is 102000021239. The reversal of 102000021200 is 2120000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3094406 + ... + 3127194.

It is an arithmetic number, because the mean of its divisors is an integer number (1285656552).

Almost surely, 2^102000021200 is an apocalyptic number.

102000021200 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 102000021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154278786240).

102000021200 is an abundant number, since it is smaller than the sum of its proper divisors (206557551280).

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

102000021200 is a wasteful number, since it uses less digits than its factorization.

102000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32926 (or 32915 counting only the distinct ones).

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

Adding to 102000021200 its reverse (2120000201), we get a palindrome (104120021401).

The spelling of 102000021200 in words is "one hundred two billion, twenty-one thousand, two hundred".