102214000224 has 192 divisors, whose sum is σ = 341985369600. Its totient is φ = 29094971904.

The previous prime is 102214000223. The next prime is 102214000249. The reversal of 102214000224 is 422000412201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102214000197 and 102214000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214000223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595499 + ... + 1658325.

It is an arithmetic number, because the mean of its divisors is an integer number (1781173800).

Almost surely, 2^102214000224 is an apocalyptic number.

102214000224 is a gapful number since it is divisible by the number (14) 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 102214000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170992684800).

102214000224 is an abundant number, since it is smaller than the sum of its proper divisors (239771369376).

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

102214000224 is a wasteful number, since it uses less digits than its factorization.

102214000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63122 (or 63108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102214000224 its reverse (422000412201), we get a palindrome (524214412425).

The spelling of 102214000224 in words is "one hundred two billion, two hundred fourteen million, two hundred twenty-four", and thus it is an aban number.