10001121221000 has 256 divisors, whose sum is σ = 29796451776000. Its totient is φ = 3056044723200.

The previous prime is 10001121220999. The next prime is 10001121221027. The reversal of 10001121221000 is 12212110001.

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, 744131 + ... + 4533869.

It is an arithmetic number, because the mean of its divisors is an integer number (116392389750).

Almost surely, 2^{10001121221000} is an apocalyptic number.

10001121221000 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 10001121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898225888000).

10001121221000 is an abundant number, since it is smaller than the sum of its proper divisors (19795330555000).

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

10001121221000 is a wasteful number, since it uses less digits than its factorization.

10001121221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789809 (or 3789795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001121221000 its reverse (12212110001), we get a palindrome (10013333331001).

The spelling of 10001121221000 in words is "ten trillion, one billion, one hundred twenty-one million, two hundred twenty-one thousand".