102311020224 has 168 divisors, whose sum is σ = 341474084640. Its totient is φ = 28680118272.

The previous prime is 102311020211. The next prime is 102311020243. The reversal of 102311020224 is 422020113201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 102311020197 and 102311020206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25689 + ... + 453080.

Almost surely, 2^102311020224 is an apocalyptic number.

102311020224 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 102311020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170737042320).

102311020224 is an abundant number, since it is smaller than the sum of its proper divisors (239163064416).

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

102311020224 is a wasteful number, since it uses less digits than its factorization.

102311020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478847 (or 478834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102311020224 its reverse (422020113201), we get a palindrome (524331133425).

The spelling of 102311020224 in words is "one hundred two billion, three hundred eleven million, twenty thousand, two hundred twenty-four".