102225041256 has 256 divisors, whose sum is σ = 289271808000. Its totient is φ = 29889699840.

The previous prime is 102225041231. The next prime is 102225041309. The reversal of 102225041256 is 652140522201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269722875 + ... + 269723253.

It is an arithmetic number, because the mean of its divisors is an integer number (1129968000).

Almost surely, 2^102225041256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102225041256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635904000).

102225041256 is an abundant number, since it is smaller than the sum of its proper divisors (187046766744).

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

102225041256 is a wasteful number, since it uses less digits than its factorization.

102225041256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 102225041256 its reverse (652140522201), we get a palindrome (754365563457).

The spelling of 102225041256 in words is "one hundred two billion, two hundred twenty-five million, forty-one thousand, two hundred fifty-six".