10220304241104 has 320 divisors, whose sum is σ = 28506061209600. Its totient is φ = 3148033996800.

The previous prime is 10220304241093. The next prime is 10220304241109. The reversal of 10220304241104 is 40114240302201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220304241109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5462481289 + ... + 5462483159.

It is an arithmetic number, because the mean of its divisors is an integer number (89081441280).

Almost surely, 2^{10220304241104} 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 10220304241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253030604800).

10220304241104 is an abundant number, since it is smaller than the sum of its proper divisors (18285756968496).

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

10220304241104 is a wasteful number, since it uses less digits than its factorization.

10220304241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10220304241104 its reverse (40114240302201), we get a palindrome (50334544543305).

The spelling of 10220304241104 in words is "ten trillion, two hundred twenty billion, three hundred four million, two hundred forty-one thousand, one hundred four".