102102021221200 has 1080 divisors, whose sum is σ = 341129681224920. Its totient is φ = 29084267520000.

The previous prime is 102102021221177. The next prime is 102102021221227. The reversal of 102102021221200 is 2122120201201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 18609284567104 + 83492736654096 = 4313848^2 + 9137436^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3113894406 + ... + 3113927194.

It is an arithmetic number, because the mean of its divisors is an integer number (315860815949).

Almost surely, 2^{102102021221200} is an apocalyptic number.

102102021221200 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 102102021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170564840612460).

102102021221200 is an abundant number, since it is smaller than the sum of its proper divisors (239027660003720).

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

102102021221200 is a wasteful number, since it uses less digits than its factorization.

102102021221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32957 (or 32928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102021221200 its reverse (2122120201201), we get a palindrome (104224141422401).

The spelling of 102102021221200 in words is "one hundred two trillion, one hundred two billion, twenty-one million, two hundred twenty-one thousand, two hundred".