221000201011008 has 84 divisors (see below), whose sum is σ = 633477309070788. Its totient is φ = 73664392028160.

The previous prime is 221000201011001. The next prime is 221000201011013. The reversal of 221000201011008 is 800110102000122.

It can be written as a sum of positive squares in 2 ways, for example, as 64063247618304 + 156936953392704 = 8003952^2 + 12527448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000201011001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12085360 + ... + 24249872.

It is an arithmetic number, because the mean of its divisors is an integer number (7541396536557).

Almost surely, 2^{221000201011008} is an apocalyptic number.

It is an amenable number.

221000201011008 is an abundant number, since it is smaller than the sum of its proper divisors (412477108059780).

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

221000201011008 is a wasteful number, since it uses less digits than its factorization.

221000201011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196072 (or 12196059 counting only the distinct ones).

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

The spelling of 221000201011008 in words is "two hundred twenty-one trillion, two hundred one million, eleven thousand, eight".