221020311033036 has 96 divisors (see below), whose sum is σ = 575420231232000. Its totient is φ = 73364492859840.

The previous prime is 221020311033017. The next prime is 221020311033037. The reversal of 221020311033036 is 630330113020122.

221020311033036 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 0 + 311 + 0 + 330 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221020311033037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70875451 + ... + 73928141.

It is an arithmetic number, because the mean of its divisors is an integer number (5993960742000).

Almost surely, 2^{221020311033036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020311033036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287710115616000).

221020311033036 is an abundant number, since it is smaller than the sum of its proper divisors (354399920198964).

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

221020311033036 is a wasteful number, since it uses less digits than its factorization.

221020311033036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055516 (or 3055508 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221020311033036 its reverse (630330113020122), we get a palindrome (851350424053158).

The spelling of 221020311033036 in words is "two hundred twenty-one trillion, twenty billion, three hundred eleven million, thirty-three thousand, thirty-six".