10221101041104 has 240 divisors, whose sum is σ = 31107373000704. Its totient is φ = 3120229785600.

The previous prime is 10221101041043. The next prime is 10221101041111. The reversal of 10221101041104 is 40114010112201.

10221101041104 is a `hidden beast` number, since 10 + 221 + 10 + 10 + 411 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38307999 + ... + 38573889.

Almost surely, 2^{10221101041104} 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 10221101041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553686500352).

10221101041104 is an abundant number, since it is smaller than the sum of its proper divisors (20886271959600).

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

10221101041104 is a wasteful number, since it uses less digits than its factorization.

10221101041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266346 (or 266337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221101041104 its reverse (40114010112201), we get a palindrome (50335111153305).

The spelling of 10221101041104 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, forty-one thousand, one hundred four".