221010010201120 has 384 divisors, whose sum is σ = 637958220867072. Its totient is φ = 70626705408000.

The previous prime is 221010010201067. The next prime is 221010010201151. The reversal of 221010010201120 is 21102010010122.

It is a self number, because there is not a number n which added to its sum of digits gives 221010010201120.

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 63 ways as a sum of consecutive naturals, for example, 2583932755 + ... + 2584018285.

It is an arithmetic number, because the mean of its divisors is an integer number (1661349533508).

Almost surely, 2^{221010010201120} is an apocalyptic number.

221010010201120 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 221010010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318979110433536).

221010010201120 is an abundant number, since it is smaller than the sum of its proper divisors (416948210665952).

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

221010010201120 is a wasteful number, since it uses less digits than its factorization.

221010010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86884 (or 86876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221010010201120 its reverse (21102010010122), we get a palindrome (242112020211242).

The spelling of 221010010201120 in words is "two hundred twenty-one trillion, ten billion, ten million, two hundred one thousand, one hundred twenty".