221101314030 has 192 divisors, whose sum is σ = 622441991808. Its totient is φ = 54305095680.

The previous prime is 221101313947. The next prime is 221101314037. The reversal of 221101314030 is 30413101122.

221101314030 is a `hidden beast` number, since 22 + 110 + 131 + 403 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221101313994 and 221101314012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101314037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7414350 + ... + 7444110.

It is an arithmetic number, because the mean of its divisors is an integer number (3241885374).

Almost surely, 2^221101314030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220995904).

221101314030 is an abundant number, since it is smaller than the sum of its proper divisors (401340677778).

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

221101314030 is a wasteful number, since it uses less digits than its factorization.

221101314030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29931 (or 29928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221101314030 its reverse (30413101122), we get a palindrome (251514415152).

The spelling of 221101314030 in words is "two hundred twenty-one billion, one hundred one million, three hundred fourteen thousand, thirty".