102212221230100 has 288 divisors, whose sum is σ = 241062193532160. Its totient is φ = 37516469760000.

The previous prime is 102212221230071. The next prime is 102212221230109. The reversal of 102212221230100 is 1032122212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212221230109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4229050816 + ... + 4229074984.

It is an arithmetic number, because the mean of its divisors is an integer number (837021505320).

Almost surely, 2^{102212221230100} is an apocalyptic number.

102212221230100 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 102212221230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120531096766080).

102212221230100 is an abundant number, since it is smaller than the sum of its proper divisors (138849972302060).

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

102212221230100 is a wasteful number, since it uses less digits than its factorization.

102212221230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25011 (or 25004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102212221230100 its reverse (1032122212201), we get a palindrome (103244343442301).

The spelling of 102212221230100 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thirty thousand, one hundred".