102101221022200 has 24 divisors (see below), whose sum is σ = 237385338877080. Its totient is φ = 40840488408800.

The previous prime is 102101221022191. The next prime is 102101221022233. The reversal of 102101221022200 is 2220122101201.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 255253052356 + ... + 255253052755.

It is an arithmetic number, because the mean of its divisors is an integer number (9891055786545).

Almost surely, 2^{102101221022200} is an apocalyptic number.

102101221022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221022200 is an abundant number, since it is smaller than the sum of its proper divisors (135284117854880).

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

102101221022200 is a wasteful number, since it uses less digits than its factorization.

102101221022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510506105127 (or 510506105118 counting only the distinct ones).

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

Adding to 102101221022200 its reverse (2220122101201), we get a palindrome (104321343123401).

The spelling of 102101221022200 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-two thousand, two hundred".