221010001121000 has 256 divisors, whose sum is σ = 636716336256000. Its totient is φ = 69923216563200.

The previous prime is 221010001120933. The next prime is 221010001121009. The reversal of 221010001121000 is 121100010122.

221010001121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221010001121009) 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, 279794606 + ... + 280583394.

It is an arithmetic number, because the mean of its divisors is an integer number (2487173188500).

Almost surely, 2^{221010001121000} is an apocalyptic number.

221010001121000 is a gapful number since it is divisible by the number (20) 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 221010001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318358168128000).

221010001121000 is an abundant number, since it is smaller than the sum of its proper divisors (415706335135000).

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

221010001121000 is a wasteful number, since it uses less digits than its factorization.

221010001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791909 (or 791895 counting only the distinct ones).

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

Adding to 221010001121000 its reverse (121100010122), we get a palindrome (221131101131122).

The spelling of 221010001121000 in words is "two hundred twenty-one trillion, ten billion, one million, one hundred twenty-one thousand".