102101221202200 has 192 divisors, whose sum is σ = 259205871592800. Its totient is φ = 37093321113600.

The previous prime is 102101221202173. The next prime is 102101221202243. The reversal of 102101221202200 is 2202122101201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14194521804 + ... + 14194528996.

Almost surely, 2^{102101221202200} is an apocalyptic number.

102101221202200 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 102101221202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129602935796400).

102101221202200 is an abundant number, since it is smaller than the sum of its proper divisors (157104650390600).

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

102101221202200 is a wasteful number, since it uses less digits than its factorization.

102101221202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12293 counting only the distinct ones).

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

Adding to 102101221202200 its reverse (2202122101201), we get a palindrome (104303343303401).

The spelling of 102101221202200 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, two hundred".