221134201020 has 144 divisors (see below), whose sum is σ = 676226259072. Its totient is φ = 58491227520.

The previous prime is 221134200997. The next prime is 221134201037. The reversal of 221134201020 is 20102431122.

It is a happy number.

221134201020 is a `hidden beast` number, since 2 + 211 + 3 + 420 + 10 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221134200984 and 221134201002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15337615 + ... + 15352025.

It is an arithmetic number, because the mean of its divisors is an integer number (4696015688).

Almost surely, 2^221134201020 is an apocalyptic number.

221134201020 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 221134201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338113129536).

221134201020 is an abundant number, since it is smaller than the sum of its proper divisors (455092058052).

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

221134201020 is a wasteful number, since it uses less digits than its factorization.

221134201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221134201020 its reverse (20102431122), we get a palindrome (241236632142).

The spelling of 221134201020 in words is "two hundred twenty-one billion, one hundred thirty-four million, two hundred one thousand, twenty".