102212221131300 has 288 divisors, whose sum is σ = 339968762606592. Its totient is φ = 23225744171520.

The previous prime is 102212221131227. The next prime is 102212221131301. The reversal of 102212221131300 is 3131122212201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102212221131301) 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, 325429134 + ... + 325743066.

It is an arithmetic number, because the mean of its divisors is an integer number (1180447092384).

Almost surely, 2^{102212221131300} is an apocalyptic number.

102212221131300 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 102212221131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169984381303296).

102212221131300 is an abundant number, since it is smaller than the sum of its proper divisors (237756541475292).

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

102212221131300 is a wasteful number, since it uses less digits than its factorization.

102212221131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314867 (or 314860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102212221131300 its reverse (3131122212201), we get a palindrome (105343343343501).

The spelling of 102212221131300 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred".