230221011020 has 288 divisors, whose sum is σ = 661971030336. Its totient is φ = 66111897600.

The previous prime is 230221011011. The next prime is 230221011067. The reversal of 230221011020 is 20110122032.

It is a happy number.

230221011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230221011020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230221010986 and 230221011004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94313000 + ... + 94315440.

It is an arithmetic number, because the mean of its divisors is an integer number (2298510522).

Almost surely, 2^230221011020 is an apocalyptic number.

230221011020 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 230221011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330985515168).

230221011020 is an abundant number, since it is smaller than the sum of its proper divisors (431750019316).

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

230221011020 is a wasteful number, since it uses less digits than its factorization.

230221011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 230221011020 its reverse (20110122032), we get a palindrome (250331133052).

The spelling of 230221011020 in words is "two hundred thirty billion, two hundred twenty-one million, eleven thousand, twenty".