10041221320000 has 560 divisors, whose sum is σ = 28737593926272. Its totient is φ = 3450332160000.

The previous prime is 10041221319979. The next prime is 10041221320019. The reversal of 10041221320000 is 2312214001.

It is a super-2 number, since 2×10041221320000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 79 ways as a sum of consecutive naturals, for example, 442508655 + ... + 442531345.

Almost surely, 2^{10041221320000} is an apocalyptic number.

10041221320000 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 10041221320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368796963136).

10041221320000 is an abundant number, since it is smaller than the sum of its proper divisors (18696372606272).

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

10041221320000 is a wasteful number, since it uses less digits than its factorization.

10041221320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22796 (or 22771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10041221320000 its reverse (2312214001), we get a palindrome (10043533534001).

The spelling of 10041221320000 in words is "ten trillion, forty-one billion, two hundred twenty-one million, three hundred twenty thousand".