102212221101300 has 432 divisors, whose sum is σ = 338235589036800. Its totient is φ = 25766553415680.

The previous prime is 102212221101259. The next prime is 102212221101317. The reversal of 102212221101300 is 3101122212201.

102212221101300 is a `hidden beast` number, since 1 + 0 + 221 + 22 + 21 + 101 + 300 = 666.

It is a super-2 number, since 2×102212221101300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 816283297 + ... + 816408503.

It is an arithmetic number, because the mean of its divisors is an integer number (782952752400).

Almost surely, 2^{102212221101300} is an apocalyptic number.

102212221101300 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 102212221101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169117794518400).

102212221101300 is an abundant number, since it is smaller than the sum of its proper divisors (236023367935500).

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

102212221101300 is a wasteful number, since it uses less digits than its factorization.

102212221101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125712 (or 125702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102212221101300 its reverse (3101122212201), we get a palindrome (105313343313501).

The spelling of 102212221101300 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, three hundred".