102410440202224 has 160 divisors (see below), whose sum is σ = 250401413283840. Its totient is φ = 39413171424000.

The previous prime is 102410440202209. The next prime is 102410440202237. The reversal of 102410440202224 is 422202044014201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102410440202192 and 102410440202201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669802617 + ... + 669955495.

It is an arithmetic number, because the mean of its divisors is an integer number (1565008833024).

Almost surely, 2^{102410440202224} is an apocalyptic number.

102410440202224 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 102410440202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125200706641920).

102410440202224 is an abundant number, since it is smaller than the sum of its proper divisors (147990973081616).

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

102410440202224 is a wasteful number, since it uses less digits than its factorization.

102410440202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159539 (or 159533 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 102410440202224 its reverse (422202044014201), we get a palindrome (524612484216425).

The spelling of 102410440202224 in words is "one hundred two trillion, four hundred ten billion, four hundred forty million, two hundred two thousand, two hundred twenty-four".