102245441100 has 288 divisors, whose sum is σ = 334768073472. Its totient is φ = 23875200000.

The previous prime is 102245441071. The next prime is 102245441101. The reversal of 102245441100 is 1144542201.

It is not an unprimeable number, because it can be changed into a prime (102245441101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12327955 + ... + 12336245.

It is an arithmetic number, because the mean of its divisors is an integer number (1162389144).

Almost surely, 2^102245441100 is an apocalyptic number.

102245441100 is a gapful number since it is divisible by the number (10) 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 102245441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167384036736).

102245441100 is an abundant number, since it is smaller than the sum of its proper divisors (232522632372).

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

102245441100 is a wasteful number, since it uses less digits than its factorization.

102245441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 102245441100 its reverse (1144542201), we get a palindrome (103389983301).

It can be divided in two parts, 102245 and 441100, that added together give a palindrome (543345).

The spelling of 102245441100 in words is "one hundred two billion, two hundred forty-five million, four hundred forty-one thousand, one hundred".