102011322224 has 80 divisors (see below), whose sum is σ = 227062133760. Its totient is φ = 43491168000.

The previous prime is 102011322211. The next prime is 102011322227. The reversal of 102011322224 is 422223110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011322196 and 102011322205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011322227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45317099 + ... + 45319349.

It is an arithmetic number, because the mean of its divisors is an integer number (2838276672).

Almost surely, 2^102011322224 is an apocalyptic number.

102011322224 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 102011322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113531066880).

102011322224 is an abundant number, since it is smaller than the sum of its proper divisors (125050811536).

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

102011322224 is a wasteful number, since it uses less digits than its factorization.

102011322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102011322224 its reverse (422223110201), we get a palindrome (524234432425).

The spelling of 102011322224 in words is "one hundred two billion, eleven million, three hundred twenty-two thousand, two hundred twenty-four".