221301113001030 has 192 divisors, whose sum is σ = 592238700301248. Its totient is φ = 57291975475200.

The previous prime is 221301113001011. The next prime is 221301113001047. The reversal of 221301113001030 is 30100311103122.

221301113001030 is a `hidden beast` number, since 2 + 21 + 301 + 1 + 1 + 300 + 10 + 30 = 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 = 221301113000994 and 221301113001012.

It is a congruent number.

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, 3923680830 + ... + 3923737230.

It is an arithmetic number, because the mean of its divisors is an integer number (3084576564069).

Almost surely, 2^{221301113001030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221301113001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296119350150624).

221301113001030 is an abundant number, since it is smaller than the sum of its proper divisors (370937587300218).

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

221301113001030 is a wasteful number, since it uses less digits than its factorization.

221301113001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59031 (or 59028 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 221301113001030 its reverse (30100311103122), we get a palindrome (251401424104152).

The spelling of 221301113001030 in words is "two hundred twenty-one trillion, three hundred one billion, one hundred thirteen million, one thousand, thirty".